(a) Let A be the set and let R be the relation on A given byis prime and not equal to 5 Prove that R is a functionwith domain A.(b) Let A be the set and let R be the relation on A given byis prime}. Prove that R is a function with domain A.(c) Let R be the relation on given by Prove that R isa function with domain

Step 1 of 4

(a)

Consider is the set and is the relation on given by .

Now, take each element of as value of and solve as follows:

For then

It implies that is prime and not equal to 5 iff .