Solve -7 < x + 2 < 4.

Question

show number line diagram

Answer 1

The inequality is - 7 < x + 2 < 4.

Subtract 2 from each part of the inequality.

- 7 - 2 < x + 2 - 2 < 4 - 2

- 9 < x < 2.

The solution of the inequality is - 9 < x < 2.

The interval notation form of solution is (- 9, 2) and its graph is