2 years ago

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

Mathematics

1 answer:

Sindrei [870]2 years ago

6 0

Answer:

<h2>x ≤ -11, Yes. The solution set include -11.</h2>

Step-by-step explanation:

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

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