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just some inequality's to do for fun (ill tell u if u r correct)

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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.

Jun 29, 2020

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

Jun 29, 2020
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so annoying man

Rayjplayz  Jun 29, 2020
edited by Rayjplayz  Jun 29, 2020
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i'm assuming you already know how to do this and this was just to do for fun, so I'll do them! :)

for number 1, i got

$$2x - 5 \le -x +12$$

$$3x-5\le12$$

$$3x\le17$$

$$x\le\frac{17}{3}$$

$$\boxed{(-\infty, \dfrac{17}{3}]}$$

for number 2, i got

$$-4(x+4)>x+7$$

$$-4x-16>x+7$$

$$-4x>x+23$$

$$-5x>23$$

$$x<-\frac{23}{5}$$

$$\boxed{(-\infty,-\dfrac{23}{5})}$$

let me know if i got these right! :D

Jun 29, 2020