Let the domain be all people and let $S(x),I(x),M(x)$ be as follows.

$S(x)$:$x$ is a student

$I(x)$:$x$ is intelligent

$M(x)$:$x$ likes music

Write wffs that express the following statements:

$($a$)$ All students are intelligent.

$($b$)$ Some intelligent students like music.

$($c$)$ Only intelligent students like music.

$($d$)$ Everyone who hates music is a stupid student.