Question

Solve the following inequality. Give the solution set in both interval and graph forms -8 less than or equal to 2x+4 less than or equal to 14

Answer 1

The given inequality is -8 less than or equal to 2x+4 less than or equal to 14. In written form, we have

- 8 ≤ 2x + 4 ≤ 14

The first step is to subtract 4 from the left and right hand sides. We have

- 8 - 4 ≤ 2x + 4 - 4 ≤ 14 - 4

- 12 ≤ 2x ≤ 10

Dividing through by 2, we have

- 6 ≤ x ≤ 5