![\boxed{\boxed{\pink{\bf \leadsto Option \ second\ is \ correct . }}}](/tpl/images/1014/2236/b27fe.png)
Step-by-step explanation:
A linear inequality is given to us . And we need to find the correct number line. So the given linear inequality is :-
![\bf\implies 3x -2 \leq 2x + 1 \\\\\bf\implies 3x -2x \leq 2 + 1 \\\\\bf\implies x \leq 2 + 1 \\\\\bf\implies\boxed{\red{\bf x \leq 3 }}](/tpl/images/1014/2236/6ecc5.png)
This means that the value of x can be less than or equal to 3 . That is it means x ≤ 3. So , the required solution set will be ,
![\boxed{\purple{\bf \{x | x \in \mathbb{R} , x \leq 3 \}}}](/tpl/images/1014/2236/4f376.png)
Hence the second option is correct.