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

 Oct 4, 2023
 #1
avatar+36921 
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3x -7   in the required interval  can only be   (2  thru   6 1/3 )

   then 2x    to be in the interval can only be  (-1/2 through 6)         so     the common factors are  x =   (2,6)      

 Oct 5, 2023

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