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Solve the inequality 2x - 5 <= -x + 12 - 7x + 18.

 May 17, 2024
 #1
avatar+129850 
+1

 2x - 5 <= -x + 12 - 7x + 18

 

Rearrange  as

 

10x <= 35

 

x <= 35  / 10

 

x <= 7 /  2

 

cool cool cool

 May 17, 2024
 #2
avatar+199 
0

Put the terms with \(x\) on one side and the numbers on the other:

 

\(2x+x+7x \le 12+18+5\)

 

which simplifies to \(10x\le35\) 

 

So \(x= \dfrac{7}{2}\)smileysmileysmiley

 

I hope that helped!

 May 18, 2024
edited by xud33  May 18, 2024

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