#### Answer

-3$\lt$x$\lt$2

#### Work Step by Step

1.) Set the inequality equal to what the originally value of 5, then set it to the opposite of the value 5 and switch the inequality sign.
2x+1$\lt$ 5 and 2x+1$\gt$ -5
2.) Solve the first inequality for x by subtracting one from both sides then dividing by 2.
2x+1$\lt$5
- 1 -1
2x$\lt$4
$\div$2 $\div$2
x$\lt$ 2
2.) Solve the second inequality for x by subtracting 1 and dividing by 2.
2x+1$\gt$-5
-1 -1
2x$\gt$-6
$\div$2 $\div$2
X$\gt$ -3
4.) Put the two inequalities solved for X together:
-3$\lt$x$\lt$ 2