Part $2$: Logic, Predicates, and Quantified State$-$ ments

a$)$ Express the following sentences as predicates where the domain is all people:

$($i$)$ Ali is a musician.

$($ii$)$ Everyone loves music.

$($iii$)$ Some people do not eat meat.

b$)$ Explain the difference between a statement that is universally quanti$-$ fied and one that is existentially quantified. Give an example of each.

c$)$ Consider the claim, $$If a user enters a correct password, then access is granted.$$ Express this claim as a logical conditional statement and explain the potential security risks if the converse, inverse, or contra$-$ positive statements are implemented instead.