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Question

+1

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2

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1.Solve the inequality $2x - 5 \le -x +12$. Give your answer as an interval.

2.Solve the inequality $-4(x + 4) > x + 7.$ Give your answer as an interval.

lazarlazar Jun 29, 2020

Guest · Answer 1 · 2020-06-29T07:39:38

This is AoPS homework. You should not cheat on your homework.

gwenspooner85 · Answer 2 · 2020-06-29T07:44:41

1.

$2x - 5 \le -x +12\\ =3x\le17\\ =x\le\frac{17}{3}\\ \boxed{x\in(-\infty,\frac{17}{3}]}$

2.

$-4(x+4)>x+7\\ -4x-16>x+7\\ -5x>23\\ 5x<-23\\ x<-\frac{23}{5}\\\ \boxed{x\in(-\infty, -\frac{23}{5})}$