Register
The solution set for the inequality x + 4 ≤ 1/2 (x - 3) includes -11 as an element.
220k views
1 vote
The solution set for the inequality x + 4 ≤ 1/2 (x - 3) includes -11 as an element.

User Zorgiev
by
5.3k points

1 Answer

2 votes

Answer:

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}

User PKKid
by
5.3k points
Ask a Question
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

5.6m questions

7.3m answers

Other Questions

What is the value of x? (-4) - x = 5
1/7 + 3/14 equivalent fractions
185g in the ratio 2:3
(3x1,000,000)+(3x100,000)+(2x100) what is this number written in standard form?
The function h = -t2 + 95 models the path of a ball thrown by a boy where h represents height, in feet, and t represents the time, in seconds, that the ball is in the air. Assuming the boy lives at sea
Link Copied!