Question

Solve -9 < 4x + 3 ≤ 11.

Answer 1

-3 < x ≤ 2

Explanation:

Subtract 3 from all parts of the compound inequality:

-9 - 3 < 4x + 3 - 3 ≤ 11 - 3

-12 < 4x ≤ 8

Divide all parts of the compound inequality by 4:

-12/4 < 4x/4 ≤ 8/4

-3 < x ≤ 2

Answer 2

`-3 < x \le 2`

Explanation:

`-9 < 4x + 3 \le 11`

↓ subtracting 3 from all sides

`-9 - 3 < 4x \le 11 - 3`

↓ simplifying

`-12 < 4x \le 8`

↓ dividing all sides by 4

`-12/4 < 4x/4 \le 8/4`

↓ simplifying

`\boxed{-3 < x \le 2}`