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Math Help - Compound inequality homework help Need this by 1:00 a.m. Eastern. Thanks

  1. #1
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    Compound inequality homework help Need this by 1:00 a.m. Eastern. Thanks

    here is the problem:

    2x-3 < -3 or 2x-3 > 1
    6 6

    These are both divided by (6) not (66) it is not coming out right on here.

    I do not know how to solve these being divided by 6. Please explain how you obtain the answer for:

    {X/X < [ ?] or X >[?]

    Thank you
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  2. #2
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    Quote Originally Posted by OneidaFL View Post
    here is the problem:

    2x-3 < -3 or 2x-3 > 1
    6 6

    These are both divided by (6) not (66) it is not coming out right on here.

    I do not know how to solve these being divided by 6. Please explain how you obtain the answer for:

    {X/X < [ ?] or X >[?]

    Thank you
    1. Since 6 > 0 (that means: 6 is a positive number) you can multiply both sides of the inequalities without changing the relation sign (and to get rid of the denominator!):

    \dfrac{2x-3}6 \leq  -3~\vee~\dfrac{2x-3}6 \geq  1~\implies~2x-3\leq -18~\vee~2x-3\geq 6

    I'll leave the rest for you.
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