## Calculus (3rd Edition)

-3$\lt$x$\lt$2
1.) Set the inequality equal to what the originally value of 5, then set it to the opposite of the value 5 and switch the inequality sign. 2x+1$\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