Question

37) What is the value of x? 1/6 (3 - 2x)< 1/3 x

A) x > 3 4
B) x < 3 4
C) x > - 4 3
D) x < - 3 4

Answer 1

A: x > 3/4

Explanation:

First you simplify the equation.

Simplify 1/3x

Then Simplify the left side.

1/2-x/3<x/3

Move x/3 to the left side of the equation by subtracting it from both sides.

1/2-x/3-x/3<0

Now simplify the left side.

1/2-2x/3<0

Find the LCD of the terms of the equation. In this case it's 6.

Multiply each term by 6 and simply.

3-2x<2x

Move all terms that contain a x to the left side of the inequality.

3-4x<0

Subtract 3 from both sides.

-4x<-3

Now divide each term by -4 and simplify.

This gives us our answer of x > 3/4.

Hope this helps. :)