Select the correct answer. Which inequality represents all the solutions of -2(3x + 6) ≥ 4(x + 7)? A. x ≥ -4 B. x ≤ -4 C. x ≥ 8 D. x ≤ 8

Question

asked Sep 25, 2021 105k views

2 Answers

Yaroslavm · Answer 1 · 2021-09-28T20:35:38+0000

Answer is B: x≤-4

Explanation:

-2(3x+6)≥4(x+7)

distribute

-6x-12≥4x+28

add 12 on both sides and subtract 4x on both sides

-10x≥40

divide by -10 on both sides. keep in mind that this flips the inequality sign.

x≤-4