Question

Which graph represents the solution set for –4(1 – x) ≤ –12 + 2x? A. B. C. D.

Answer 1

In the attachment

Explanation:

`-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}\\\\x\leq-4`

<, > - open circle

≤, ≥ - closed circle

<, ≤ - draw the line to the left

>, ≥ - draw the line to the right