To solve this inequality we have to proceed as if it were an equation, it means, isolate x to one side of the sign:
[tex]\begin{gathered} \frac{1}{2}(5x-10)>\frac{7}{2}x-8 \\ \frac{5}{2}x-5>\frac{7}{2}x-8 \\ \frac{5}{2}x-\frac{7}{2}x>-8+5 \\ -x>-3 \\ x<3 \end{gathered}[/tex]According to this, x is less than 3.
