Canvas Question $-$ Let A$($x$),$ C$($x$),$ F$($x$),$ H$($x$),$ and L$($x$)$ be the predicates

A$($x$)$: x is a good athlete

C$($x$)$: x is confident

F$($x$)$: x is focused

H$($x$)$: x is healthy

L$($x$)$: x is a leader

Express each of the following English sentences in terms of A$($x$),$ C$($x$),$ F$($x$),$ H$($x$),$ and L$($x$)$ quantifiers, and logical connectives. Assume the domain $($D$)$ is the set of all people. Please see the example problems provided here

$($You may need to use these symbols: $>=<=!=->)$

a$)$ All confident leaders are not good athletes. $[$Please consider that predicates combine conjunctively. So$,\text{'}$x is a confident leader' means that x is confident and x is a leader.$]$

b$)$ A person is a good athlete only if it is the case that both the person is focused and the person is healthy.

c$)$ Being a leader is not a necessary condition for being a good athlete.

d$)$ Some confident people are neither healthy nor are they focused.

e$)$ A person is not a good athlete unless he$/$she is confident.