​sir​​
Q.14. If 4x + 3 $\le$ 2x + 17 and 3x - 5 > - 2, then x $\in$

Dear Student,

$$\begin{gathered} 4x+3\le 2x+17 and 3x-5>-2 \\ \Rightarrow 4x-2x\le 17-3 and 3x>-2+5 \\ \Rightarrow 2x\le 14 and 3x>3 \\ \Rightarrow x\le 7 and x>1 \\ \Rightarrow 1<x\le 7 \\ \Rightarrow x\in (1,7] \end{gathered}$$

Hope this information will clear your doubts about topic.

Regards