1. ## Inequality

If b < 2 and 2x - 3b = 0, which of the following must be true?

A. x > - 3
B. x < 2
C. x = 3
D. x < 3
E. x > 3

2x - 3b = 0

-3b = -2x

b = -2x/-3

b = 2x/3

I know that b < 2, as stated.

So, (2x/3) < 2.

3[(2x/3)] < 2 • 3

2x < 6

x < 6/3

x < 3

I say the answer is D.

2. ## Re: Inequality

Originally Posted by harpazo

2x < 6

x < 6/3 $\displaystyle \ \ \ \ \ \$ <--------- You made an accident here. You meant to show a denominator of 2.

x < 3

I say the answer is D.
.