Find all $x$ such that both $2x$ and $3x-7$ are in the interval $(-1,12)$.
-1 < 2x < 12 divide through by 2 -1 < 3x - 7 < 12 add 7 to each
-1/2 < x < 6 6 < 3x < 19 divide through by 3
2 < x < 19 / 3
Most restrictive interval
2 < x < 6
+677 
