Question

Solve the following compound inequality: 0 ≤ 3x + 6 < 18

a. -2 ≤ x < 4
b. 0 ≤ x < 4
c. -2x ≤ x < 18
d. 2 ≤ x < 4​

Answer 1

a. -2 ≤ x < 4

Explanation:

0 ≤ 3x + 6 < 18

or, 0 - 6 ≤ 3x + 6 - 6 < 18 - 6

or, -6 ≤ 3x < 12

or, -6/3 ≤ 3x/3 < 12/3

or, -2 ≤ x < 4