Question

What is the solution to the compound inequality? –6 ≤ 2x + 6 ≤ 6

Answer 1

∈  ≤ ≥

-6 ≤ 2x + 6 ≤ 6 ( seperate the two inequalities)

2x + 6 ≥ - 6

2x + 6 ≤ 6 (solve the inequalities)

x ≥ -6

x ≤ 0 (find the intersection)

solution is : x ∈  { -6, 0 }