Consider the following one-to-one correspondence between the set A of all integer multip...

Consider the following one-to-one correspondence between the set A of all integer multiples of 3 and the set N of all natural numbers:

where an odd natural number n corresponds to the nonpositive integer and an even natural number corresponds to the positive even integer

a. Find the element of A that corresponds to 396 ∈ N.

b. Find the element of N that corresponds to 396 ∈ A.

c. Find the element of N that corresponds to -153∈A.

d. Find n(A).