Answer
4$\lt$x$\lt$20
Work Step by Step
1.) Set what the inequality equals to what it originally equals, and then set it to the opposite of that number with the opposite inequality sign
x-12$\lt$8 and x-12$\gt$-8
2.) Solve the first inequality for x by adding 12 to both sides.
x-12 $\lt$ 8
+ 12 + 12
= x$\lt$ 20
3.)Solve the second equality for x by adding 12 to both sides.
x-12$\gt$-8
+ 12 + 12
= x$\gt$ 4
4.) Combine the two inequalities to solve for x
4$\lt$x$\lt$20
