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Find all $x$ such that $1-3x < x + 8 \le 7-x$. Give your answer in interval notation.

 Jun 3, 2024
 #1
avatar+129843 
+1

Break this into two parts

 

1 - 3x < x + 8                   x + 8 ≤  7 - x

-7 < 4x                             2x ≤  -1

x > -7/4                              x ≤ -1/2

 

( -7/4 , -1/2 ] 

 

cool cool cool

 Jun 3, 2024

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