Answer :
[tex]4x-7>17\ \ \ \ | add\ 7\\\\
4x>24\ \ \ \ | divide\ by\ 4\\\\
x>6\\\\
Solution\ is\ x\in(6,+\infty)[/tex]
[tex]4x-7>17\\\\4x-7+7>17+7\\\\4x>24\ \ /:4\\\\x>6\ \ \ \Rightarrow\ \ \ x\ \in\ (6;\ +\infty)[/tex]