Question is in description.

Question

−2(3x + 3) ≤ −2x − 18
Solve the linear inequality for the given variable. Simplify and express your answer in algebraic notation.

Answer 1

-2(3x + 3) ≤ -2x - 18                distribute

-6x - 6 ≤ -2x - 18                      add 6x to both sides

-6 ≤ 4x - 18                              add 18 to both sides

12 ≤ 4x                                    divide both sides by 4

3 ≤ x

 

x ∈ {x | x ≥ 3}