Solve absolute rational inequalities

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  • Опубліковано 14 жов 2024

КОМЕНТАРІ • 19

  • @ManjulaMathew-wb3zn
    @ManjulaMathew-wb3zn 7 місяців тому +2

    Square to remove absolute value symbol.
    (3-2x)^2 >9(x-1)^2
    5x^2-6x

  • @זאבגלברד
    @זאבגלברד 7 місяців тому

    The function y=( - 2x+3 ) / (x - 1) is a "move" of some k/x ... If you do the devision, you see it. So it is simple to draw the function ! and find where the line y=3 intersects

  • @horsepower33
    @horsepower33 Рік тому +7

    more confused than before.

  • @mustafaquershi
    @mustafaquershi Рік тому +2

    At 1 function is undefined. I don't know how you draw graph and give interval

  • @Dharmarajan-ct5ld
    @Dharmarajan-ct5ld 3 роки тому +7

    Use distance concept interpretation of MODULUS. Distance of 3 from 2x > distance of 3 from 3x.
    It is just 3 steps

  • @Dharmarajan-ct5ld
    @Dharmarajan-ct5ld 3 роки тому +4

    At 4.21, "" x>0, x-1>0"" appears questionable !!

    • @hqs9585
      @hqs9585 3 роки тому

      At the beginning it does, but she is just using the negative to accept domain instead of traditional positive, in my opinion NO NEED to do that, just be consistent with positive sign in the domain determination. In short she just made a mistake up to that point but rectified by saying negative domain acceptable.

    • @rdas1
      @rdas1 12 днів тому

      Agree. This 2nd term x/(x-1) < 0 is an undefined one as there is no domain value of x that satisfies and the term is not = to "0" when x = 0. Of course, x can't be 1. In other words, we could also take x < 0 and x - 1 < 0. This approach confuses the audience. Above mentioned approach by Manjula Mathew is short and sweet

  • @selmashikongo9649
    @selmashikongo9649 5 місяців тому

    Is this not modulus?

  • @Dharmarajan-ct5ld
    @Dharmarajan-ct5ld 3 роки тому +2

    Dear Sh. chintakunta Navya, Reference your reply to my comment:
    x can't be 1, is obvious.
    Shift |x-1| to right side and take 3 inside modulus.
    Note: |a-t|=|b-t| for a """'constant t"""" means, either a=b or t is average of a and b . Analyse.!!!! Number line!!!
    Moreover, it appears author has committed a mistake with
    ""x/(x-1)

  • @claytonjansen589
    @claytonjansen589 8 місяців тому

    adorable

  • @juliajohaness2688
    @juliajohaness2688 2 роки тому

    Why do we have to equate the equations to 0?

    • @kathymckenzie9164
      @kathymckenzie9164 2 роки тому +1

      Julia, doing so gives the roots of each part of the rational expression, which divides the number line into regions we must inspect in our sign analysis.

    • @juliajohaness2688
      @juliajohaness2688 2 роки тому +1

      @@kathymckenzie9164 thank you so much