Question

The solution set for the inequality x + 4 ≤ 1/2 (x - 3) includes -11 as an element.

Answer 1

x ≤ -11, Yes. The solution set include -11.

Explanation:

`x+4\leq(1)/(2)(x-3)\qquad\text{multiply both sides by 2}\\\\2x+8\leq1(x-3)\\\\2x+8\leq x-3\qquad\text{subtract 8 from both sides}\\\\2x\leq x-11\qquad\text{subtract x from both sides}\\\\\boxed{x\leq-11}`