Solving Absolute Value Equations and Inequalities - Number Line & Interval Notation - Algebra
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- Опубліковано 5 вер 2016
- This algebra video tutorial shows you how to solve absolute value equations with inequalities and how to plot the solution on a number line and write the answer in interval notation. This video also shows you how to identify cases of no solution or infinitely many solutions / all solutions. This video contains plenty of examples and practice problems including absolute value problems with fractions and variables.
Plotting Inequalities on a Number Line:
• How To Plot Inequaliti...
How To Solve Linear Inequalities:
• How To Solve Linear In...
Solving Absolute Value Inequalities:
• Absolute Value Inequal...
Graphing Linear Inequalities In 2 Variables:
• How To Graph Linear In...
Graphing Systems of Linear Inequalities:
• Graphing Systems of Li...
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How To Solve Compound Inequalities:
• How To Solve Compound ...
Quadratic Inequalities:
• Quadratic Inequalities
Polynomial Inequalities:
• Solving Polynomial Ine...
Rational Inequalities:
• Rational Inequalities
SAT Math - Inequalities:
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Another tip: to make sure you've graphed right - if the sign is < in the original equation, you will always have one answer. If it's > you will have two or more answers, like the first two examples he provided.
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One more thing
What if we have an isolated absolute value one the left side, and more than 2 terms on the right side (also maybe with a variable x) lets say ( |x+2| > +9 -2x)
we change the direction of the inequality sign right ? and the sign ??? does it become (+9-2x,-9+2x) ??
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Good day sir! I have a question clarification is it okay to put the lowest value of fraction before the highest one on the line? For instance (-1/4 before -3/4?.
isnt -3/4 less than -1/4? so putting -1/4 before -3/4 wouldn’t matter. idk i am dumb
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At 4:40 Where did you get the 3 that you're adding to the equation. I don't understand.
I have a question for Eg 2. |2/3x-1/4|>5.
Do we not change the signs of the inequality when dividing? Thus making x-57/8
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at 6:19, are combining like terms an option too?
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anyone know how to do this if it's the AV of x is greater than or equal to 5?
how do you know which ones have finitely amount of solutions vs infinitely amount of solutions
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For the inequalities: abs.val. of 2x+1 < - 1/2 and abs.val. of 2x+1 > - 3/4 , please explain why the range of possible values for x is
( - inf , + inf ) and not ( - 3/4 , - 1/2 ).
because the lines touch each other so the answer is all real numbers
at 6:30 why dont we do +2? to both sides?
or in the beggining of that problem why don't we just do 4-2 = 2 and then subtract 2 to both sides?
In example 3 can we substract b.s by 4 other than 2
thank you
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Does he have a video for absolute values on both sides?
Thank you!