How do you solve and graph -5 < 2x + 1 < 4?

1 Answer
May 2, 2018

-3< x<3/2

Shade the area between a dashed line for x=-3 and a dashed line for x=3/2

Explanation:

We want just x on its own in the middle.

First,we take away 1 from both sides:

-5-1<2x+1-1<4-1
-6<2x<3

Then divide all terms by 2:

-6/2<(2x)/2<3/2
-3< x<3/2

To graph the inequality, draw a dashed line for x=-3 and x=3/2 and shade between the two lines.