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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
 #1
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+1

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

 Jun 29, 2020
 #2
avatar+321 
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so annoying man

Rayjplayz  Jun 29, 2020
edited by Rayjplayz  Jun 29, 2020
 #3
avatar+732 
+1

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

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