Question

Which graph represents the solution set for –4(1 – x) ≤ –12 + 2x?

Answer 1

$-4(1-x)\leq-12+2x\qquad\text{use distributive property}\\\\(-4)(1)+(-4)(-x)\leq-12+2x\\\\-4+4x\leq-12+2x\qquad\text{add 4 to both sides}\\\\4x\leq-8+2x\qquad\text{subtract 2x from both sides}\\\\2x\leq-8\qquad\text{divide both sides by 2}\\\\\boxed{x\leq-4}$