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Find all $x$ such that both $2x$ and $3x-7$ are in the interval $(-1,12)$.

 Feb 7, 2024
 #1
avatar+129881 
+1

-1 < 2x < 12    divide through by 2

-1/2 < x < 6

 

And

 

-1 < 3x  -7 < 12       add 7

6 < 3x < 19      divide through by 3

2 < x  < 19/2 

 

2 < x < 6   

 

cool cool cool

 Feb 7, 2024

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