Solve the inequality. −9<2x+2−3≤7 Put your answer in the solution box below. -4<x<4 4<x<4 5<x<0 -5<x<0

Answer 1

To solve the inequality, we need to isolate the variable x.

We start by subtracting 2 from all parts of the inequality:
-9 - 2 < 2x + 2 - 2 - 3 < 7 - 2
-11 < 2x - 3 < 5

Next, we add 3 to all parts of the inequality:
-11 + 3 < 2x - 3 + 3 < 5 + 3
-8 < 2x < 8

Finally, we divide all parts of the inequality by 2 (Note: since the coefficient of x is positive, the inequality sign remains the same):
-8/2 < 2x/2 < 8/2
-4 < x < 4

Therefore, the solution to the inequality is -4 < x < 4.