Question

Solve the compound inequality x + 6 ≥ 4 and 3x + 5 ≤ 5.

A) 0≤x≤ 2
B) 0≤x≤ -2
OC) -2 ≥ x ≥ 0
D) -2 ≤ x ≤ 0

Answer 1

D) -2≤x≤0.

Explanation:

the solution for inequality x + 6 ≥ 4 is x≥-2;

the solution for inequality 3x + 5 ≤ 5 is x≤0;

if to combain the both solutions above, the final solution is x∈[-2;0]. The option D is correct.