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

1. ## 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

2. Originally Posted by OneidaFL
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!):

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

I'll leave the rest for you.