Systems of Linear Inequalities

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  • Опубліковано 9 вер 2024

КОМЕНТАРІ • 247

  • @dhruvshahane2059
    @dhruvshahane2059 9 років тому +150

    There is an error present in the video. When writing out the second inequality, the y-intercept is wrong and therefore, it should be 3/2.

    • @caitlinfichtler6155
      @caitlinfichtler6155 2 роки тому +18

      checking the comments to make sure I wasn't crazy. Thanks!

    • @ryanli9310
      @ryanli9310 2 роки тому +3

      I think i was wrong or i miss any steps! Thanks for checking

    • @cat-des650
      @cat-des650 5 місяців тому

      thank u

  • @williethphil
    @williethphil 8 років тому +639

    I hate math

    • @Al-xi8vu
      @Al-xi8vu 6 років тому +20

      Math hates you

    • @gregoryyang8988
      @gregoryyang8988 6 років тому +4

      OOF.

    • @KhaledUNITED
      @KhaledUNITED 6 років тому +9

      i hate
      math but its cool

    • @KAYSC3A
      @KAYSC3A 5 років тому +3

      Al527 Shut up

    • @LlamaYoMomma
      @LlamaYoMomma 4 роки тому +6

      @@Al-xi8vu You are right. It's true because math ruins our life. So math is just evil to us.

  • @mitchreed6630
    @mitchreed6630 5 років тому +180

    it’s funny how this video explains more than my algebra teacher

  • @EijiSalvador
    @EijiSalvador 9 років тому +141

    At 3:40 why does 6/4 = 6?

    • @matthewherzeca3251
      @matthewherzeca3251 8 років тому +9

      The y intercept can't be a fraction

    • @matthewherzeca3251
      @matthewherzeca3251 8 років тому +3

      ***** or decimal. If have something that can't divide into a perfect number (like 3) than don't divide it.

    • @ginkomushi7950
      @ginkomushi7950 8 років тому +3

      +Clorox Bleach
      that's not how it works

    • @ourworldclaim513
      @ourworldclaim513 7 років тому +9

      It's an error

    • @kelseyl.4381
      @kelseyl.4381 6 років тому +11

      The y-intercept can be a fraction.

  • @thatwasmyfault7350
    @thatwasmyfault7350 6 років тому +57

    Math makes me feel stupid 😂

    • @sukarnos3xy
      @sukarnos3xy 2 роки тому

      It's normal for me to feel "stupid" when i watch maths everyday, just like how it feels when you adapt to something uncomfortable.

    • @wonderthegoat
      @wonderthegoat 2 роки тому +1

      @@sukarnos3xy u had to ruin it didn't you?

    • @sukarnos3xy
      @sukarnos3xy 2 роки тому

      @@wonderthegoat Sorry, no debates please.

    • @wonderthegoat
      @wonderthegoat 2 роки тому +1

      @@sukarnos3xy ez win

  • @jenniferangeles04
    @jenniferangeles04 6 років тому +107

    I showed this video in class and we found an error. The part when you divided the second equation by 4. You forgot to divide 6 by 4. I had to correct it in class and explain it to my students. On the brighter side of this experience, I realized that my students understand the lesson because they easily identified the error in the video, which means they dont just watch it but they are really paying attention to the process.

    • @masalagravy6061
      @masalagravy6061 3 роки тому +15

      In that case, he totally did it on purpose

    • @enxvity
      @enxvity 6 місяців тому +1

      @@masalagravy6061 LOL

  • @davidpham3787
    @davidpham3787 8 років тому +90

    learned more in this video than my teacher teached me

  • @damarisbishop6960
    @damarisbishop6960 8 років тому +78

    sorry if this sounds like a dumb question but how do you get 6/4 to equal 6? ahhh i see I' am not the only one asking this question

    • @matthewherzeca3251
      @matthewherzeca3251 8 років тому +4

      The y intercept can't be a fraction

    • @dancekinghoseok4608
      @dancekinghoseok4608 6 років тому +12

      he did a mistake

    • @thinellejohn237
      @thinellejohn237 5 років тому +3

      I was thinking the same thing, like what?

    • @cassandrafitydjx7462
      @cassandrafitydjx7462 4 роки тому +1

      @@matthewherzeca3251 it can be fraction

    • @shreebatsachaturvedi5376
      @shreebatsachaturvedi5376 4 роки тому

      @@matthewherzeca3251 i mean, you really shouldn't answer a question, you have no idea about. you're going all over the place, saying it can't be a fraction. Dude, take any graphing software, and plugin a y = mx + c, where c is a fraction, and no, your house doesn't blow up! It works!

  • @blainevideos
    @blainevideos 8 років тому +35

    When simplifying the second inequality, you accidentally lost the denominator in 6/4. It can't just disappear. What you wanted to do was to keep 6/4 and then simplify it to 3/2 (or 1½). Thus the reference line should have started with the y-intercept of 3/2 (1½) and then had a slope of -1/4 from there. And to Matthew Herzeca, you absolutely *can* have an intercept that is a fraction.

  • @puertodeluna
    @puertodeluna 9 років тому +10

    I was glad to see that others noticed the error in the y-intercept. I'm a teacher too and it is common to make errors while writing on the white board. I rely on my students to help me out and point out my mistakes.

  • @hey_its_mika
    @hey_its_mika 8 років тому +59

    hey guys on who are watching this on sunday

    • @peterking2561
      @peterking2561 6 років тому +1

      i have finals tomorrow

    • @lzyyxe
      @lzyyxe 4 роки тому

      Hah me

    • @khakipeach2128
      @khakipeach2128 3 роки тому +1

      i’m watching this on saturday

    • @era2s
      @era2s 3 роки тому

      oh hey wassup

    • @hey_its_mika
      @hey_its_mika 3 роки тому

      @@era2s lmao I made this comment 4 years ago, glad to see people still chugging on the math train

  • @kate2799
    @kate2799 7 років тому +6

    im taking two highschool classes early while doing 8th grade at the same time and my math eoc is next week. this helped so much!

  • @twary1911
    @twary1911 8 років тому +3

    WOW thank you the shading part our teacher taught us was so fucking confusing, you just saved my life

  • @shine8704
    @shine8704 4 місяці тому

    I understood this better than what my teacher was teaching for 2 weeks. Thank you

  • @lukealucard
    @lukealucard 9 років тому +12

    Thank you so much. Also I think you made a mistake solving the second inequality. The y- intercept is equal to 6/4.

  • @spxncxrtxrry
    @spxncxrtxrry 11 років тому +3

    Thanks man you are better than any teacher I have ever had

  • @heyemilywalker
    @heyemilywalker 8 років тому +30

    watching this on sunday at 11pm because test is Monday morning at 7:30

  • @popmuzic71
    @popmuzic71 9 років тому +7

    ....I like the purple. And the fact this is saving my grade.

  • @Engineer91210
    @Engineer91210 5 років тому +1

    why would u ever dislike mr khan????? 58 dislikes????? why????? he's doing great

  • @nightsky2949
    @nightsky2949 6 років тому +2

    I suggest using the rise over run term when graphing, it helps you remember

  • @ahmedalgammal3055
    @ahmedalgammal3055 9 років тому +1

    Ur the best khan academy thank you so much

  • @user-gz6ji9hy1y
    @user-gz6ji9hy1y 6 років тому +3

    Thank You! This was very helpful and I got to finish my math homework! I Liked and Subscribed.

  • @isaacjibben385
    @isaacjibben385 4 роки тому +1

    Best Teacher ever!

  • @Al-xi8vu
    @Al-xi8vu 6 років тому +3

    6/4 = 6
    Quick mafs

  • @HumanReject
    @HumanReject 9 років тому +1

    Khan academy never let's me down lol I'm about to get a good grade on my test now

  • @ottoharcrow9327
    @ottoharcrow9327 6 років тому

    This was a huge help! Thank you! By the way, Sal Khan made a simple error and we all know what the real answer is and how to do it so stop complaining.

  • @garbageman1032
    @garbageman1032 Рік тому

    I love math but this made me want to throw hands I appreciate you so much for helping me understand this it’s fun now my teacher is doo doo water

  • @letsgetdowntobusiness-
    @letsgetdowntobusiness- Рік тому

    I'm a learned Doctor and I didn't catch the error. Its funny how many teachers are watching this video.

  • @24DaniS24
    @24DaniS24 Рік тому +1

    In the second example, why is the y intercept 6, instead of 6/4 or 3/2? Both sides had to be divided by four, so that should make 6 become 6 over 4, right?

  • @Bowyerlegend
    @Bowyerlegend 2 роки тому

    I think this man just saved my future

  • @angelvides2310
    @angelvides2310 7 років тому +1

    Omfg thx my test is tmrw and this was super helpfull

  • @SVKteacher
    @SVKteacher 13 років тому +1

    To all students, yes the y-intercept should be 6/4 (reduced to 3/2 or 1.5) for the second inequality. Other than that, his process is totally right.

  • @123WobWob
    @123WobWob 11 років тому +1

    At 1:33 why does -2/3 magically turn into positive 2/3.

    • @marisleong8725
      @marisleong8725 4 роки тому

      u probably don't care anymore but it was -2/-3 so the negatives cancel out

  • @RizaldoMullings
    @RizaldoMullings 10 років тому +1

    Thank you. You must be an algebra god.

  • @kayleewilson6397
    @kayleewilson6397 5 років тому +1

    i wonder what sal is doing 9 years after he made this video

  • @jada004
    @jada004 11 років тому

    OHHHHHHHHHHHHHH MYYYYYYYYYYYYYYYY GOOOOOOOOOOOOOOOOD thank you.!! You are the god of Algebra.!!!!!!

  • @HanMing1
    @HanMing1 8 років тому +15

    6/4 = 6 pplz fix

  • @mikichu1144
    @mikichu1144 3 роки тому

    Wow thank u so much, I've learned more than what my teacher thought me👀

  • @KeilaRemon2006
    @KeilaRemon2006 9 років тому +1

    He decided to make it happen. If he should have divided 6 by 4 the result would be 1.5 or round off 2. But maybe the y should have been between the 1 and 2. Then solve the slope.

  • @oscarruiz1140
    @oscarruiz1140 7 років тому +2

    what program do you guys use to do the equation?

  • @brianwang4324
    @brianwang4324 10 років тому

    OOMG THANK YOU SOOO MUCH U JUST PROBABLY HELPED ME PASS MY GRADE

  • @nourn2002
    @nourn2002 6 років тому +1

    didnt switch the sign after division

  • @chessstar2617
    @chessstar2617 6 років тому

    Ur a blessing cause my teacher sucks at explaining

  • @Chickenwing38nigeria
    @Chickenwing38nigeria 11 років тому

    its -2/-3 smart one and negative/negative gives you a positive if you were paying attention in your math class

  • @jekinboy1997
    @jekinboy1997 12 років тому

    thx bro dizz will really help for my test bm3 benchmark 3 for algebra

  • @awesomeg7284
    @awesomeg7284 9 років тому +4

    Hey ! I have a question. Why do we need to graph this inequality thingie in the first place?

  • @ziggyra4525
    @ziggyra4525 4 дні тому

    I thought I was dumb, I’m glad others see the 6/4 error
    You would think a big company made to help teach kids would be better about checking their content

  • @sabrinasykes5480
    @sabrinasykes5480 5 років тому +1

    I get anxious by only watching this

  • @cat-des650
    @cat-des650 5 місяців тому

    1:31 the point , this instantanous rate of change just illustrated how hournadous my maths is.😢😢

  • @happyface958
    @happyface958 6 років тому +2

    Guys 6/4 is 6. Is this a new theorem or postulate?

  • @jessicatenezaca3786
    @jessicatenezaca3786 7 років тому +1

    What if you have an equation that has the y intercept bigger than the graph. For example if I have x+y is less or equal to 200 and 5x+6y is greater or equal to 500. Even if I put the equation in y=mx+b form, the y intercept is still big so how do I graph that on a graph that just the y axis goes up til 10 and how do I graph the slope?

  • @kamsioguegbu3902
    @kamsioguegbu3902 2 роки тому

    Thank you Khan Academy.

  • @jxfar
    @jxfar 10 років тому

    @Brian Wang ME TOO! Thanks a lot Khan Academy.

  • @serapanda3038
    @serapanda3038 Рік тому

    thank you i found this helpful

  • @jamesbooher9604
    @jamesbooher9604 11 років тому

    subtract x from the right side, and the left side, making the problem look like x-y

  • @happyface958
    @happyface958 6 років тому

    I love how he didn't realize . That's me honestly.

  • @jeshaunwallace3829
    @jeshaunwallace3829 11 років тому

    This dude has taught me more stuff about math than my actual math teacher. Just because he made one little mistake -you know the thing that separates humans from machines- You start criticizing him. So sad. I bet you are watching this video to get help, aren't you?

  • @tinobeg
    @tinobeg Рік тому

    Bro teaches better than my tecaher ong the only reason I’m gonna pass

  • @lousybil5235
    @lousybil5235 7 років тому +1

    "When you run 3, you go up 2" what if it's not a fraction? For example: y > 4x - 7... do we run 4 and go up 1?

    • @princeosei7362
      @princeosei7362 6 років тому

      Short Answer: You go up 4 and over (to
      the right) 1. (Explanation below)
      _________________________________________
      Explanation:
      I personally prefer using rise over run,
      which is the same method he used, but he
      just flipped it (run over rise), which is more
      confusing to people who don’t know how
      to do it. So in your situation you can turn
      the slope (rate of change), which is 4, into
      4/1, since 4/1 still = 4. So then when
      graphing you would start at -7 on the y-axis
      AKA (0,-7), and rise (go up) 4 and over
      (right) 1 and repeat. Once you run out of
      room on the graph, unless you want to just
      use a ruler to draw your line, which is less
      accurate, you go back to the starting point
      (0,-7), using the slope, and go in reverse.
      Since -4/-1 also = 4, then you can start at
      (0,-7) and go down 4 and over (to the left) 1
      and repeat. Also, in the situation, when
      connecting the points, if your line is going
      downwards from the left to the right of the
      graph (negative/decreasing), then it’s
      wrong. Because 4 is a positive (increasing)
      number so your line should go up from the
      left to the right of the graph, because it’s
      increasing. However, you can’t use -4/1 or
      4/-1 as they both = -4 instead of 4. So using
      -4 as the slope would make your line
      negative/decreasing and make your graph
      incorrect.

    • @happyface958
      @happyface958 6 років тому

      It's going to e 4/1

  • @jewelss7191
    @jewelss7191 8 років тому +4

    When you do the second equation you divide both sides by 4 and there is 6/4 and you say it is just 6 when you move on. Is this an error or is there a reason why you did this?

  • @gabrielagomes1510
    @gabrielagomes1510 Рік тому

    What is the value of x y? The solution?

  • @lfrabood2416
    @lfrabood2416 2 роки тому +1

    Legends still watching this video

  • @kevinhuynh4533
    @kevinhuynh4533 8 років тому +1

    Wouldn't that get really messy?

  • @daviddunson5181
    @daviddunson5181 6 років тому

    Best part at 8:51 This is how I study everynight

  • @earlystrings1
    @earlystrings1 6 років тому

    Error at 3:40. 6/4 not 6. But you still get the idea. The y intercept would be lower but same slope.

  • @t.shurid2042
    @t.shurid2042 3 роки тому

    there is a mistake, when he divided 6/4 and then in the next line didn't get around to doing that

  • @rosepierce9382
    @rosepierce9382 Рік тому +1

    How do we solve a system of linear inequalities algebraically?

    • @maxcolburn8323
      @maxcolburn8323 Рік тому

      With systems of equations there is one set answer, but with inequalities there is not one set answer. From my knowledge the only way you can is from using sub. to plug in points for the x and y. Example y>1x+2; y1(3)+2 and the same for other inequalities. You check and see if it’s a true statement

    • @rosepierce9382
      @rosepierce9382 Рік тому

      @@maxcolburn8323 Thank you!

  • @ismaelescobedo444
    @ismaelescobedo444 8 років тому

    Thank you so much!!!!!

  • @goldenstarfish7496
    @goldenstarfish7496 9 років тому

    why the color orange equation swaped?

  • @marlenebaugh8078
    @marlenebaugh8078 Рік тому

    Why didn't you divide 6 by 4 for they intercept?

  • @AGIRLSVIOCE
    @AGIRLSVIOCE 8 років тому

    Thank you!

  • @mhandschuh6166
    @mhandschuh6166 3 роки тому

    it would have intersected on your graph if you made the intercept 3/2 as it should have been :D

  • @peyton4310
    @peyton4310 3 роки тому

    thankyouthankyouthankyou

  • @sdlgnpcc
    @sdlgnpcc 11 років тому

    Wait shouldn't the solution set for all three line to from 0 to -n? Where n is a constant pls I am confused:/

  • @jennieb.9779
    @jennieb.9779 8 років тому +4

    3:54 how is 6/4=6 ?

  • @someguy3348
    @someguy3348 9 років тому

    why dont you devide y intercept (6) by 4 as well

  • @judahkass7592
    @judahkass7592 7 років тому

    My biggest problem is when the y-intercept is a fraction. That always pisses me off

  • @anandtom99
    @anandtom99 8 років тому

    Is the 1/4 taken in the second inequality common??

  • @marielalfonso5083
    @marielalfonso5083 11 років тому

    Thank you! :))

  • @bdhaan9146
    @bdhaan9146 2 роки тому

    Does the inequalities sign change when dividing by a positive number?

  • @raghav_ramesh15
    @raghav_ramesh15 2 роки тому

    Error 6/4 does not become 6 in 2nd inequality

  • @jazzybenignohall
    @jazzybenignohall 11 років тому

    Why is it 6 shouldn't it be 3/2

  • @cypherknot
    @cypherknot 2 роки тому

    6/4 is not 6. I'm confused.

  • @Dre_Lifts
    @Dre_Lifts 6 років тому

    Actually so helpful lol my math teacher is shit

  • @williegray5586
    @williegray5586 7 років тому

    thanks homie

  • @Msmabintistar
    @Msmabintistar 5 років тому

    Why wasn’t the y-int 6/4?

  • @Buelldozer123TTV
    @Buelldozer123TTV 7 років тому

    thanks this helped out a lit

  • @myazan1095
    @myazan1095 3 роки тому

    3 : 55 you subtract -x only x. why you didnt subtact that other number also i meam 4y

  • @raptor5530
    @raptor5530 3 роки тому

    The amount of people here unironically saying "teached" is concerning

  • @hamoopro6654
    @hamoopro6654 2 роки тому

    Solve systems of linear inequalities by graphing

  • @tomadonna
    @tomadonna 4 роки тому

    why is 6/4 = 6, 6/4 should be equal to 3/2.

  • @xclowninxyt8023
    @xclowninxyt8023 6 років тому

    Ive been studying since 12 am n im still up studying

  • @masalagravy6061
    @masalagravy6061 3 роки тому

    3:41 shouldn't 6/4 be 3/2, not 6? lol

  • @jonahcano3930
    @jonahcano3930 9 років тому +1

    What if y and x r by themselves

    • @ranaaslam2579
      @ranaaslam2579 6 років тому +1

      Then the slope is equal to 1 and the y intercept is the origin

  • @suzerain_k
    @suzerain_k 5 років тому

    can anyone explain to me how -2/-3 x becomes positive??? just wondering..

    • @dbolt_
      @dbolt_ 5 років тому

      they are both negatives so when you divide or multiply them the negatives cancel out

  • @jasminemely
    @jasminemely 12 років тому

    6 over 4 equals 6???? 3:36

  • @noor-eg1uu
    @noor-eg1uu 5 років тому +1

    ok but why

  • @chelseamoehle276
    @chelseamoehle276 6 років тому

    You are my best friend XD

  • @rezaarian237
    @rezaarian237 6 років тому

    6/4 ??? who you can get 6/4 in the second one?

  • @HideFromIt
    @HideFromIt Рік тому

    3:48, the y intercept is wrong here