let x = {p ∈ z | p = 5a + 2 for some integer a}, y = {m ∈ z | m = 4b + 3 for some integer
b}, and z = {n ∈ z | n = 4c − 1 for some integer c}.
is x ⊆ y ? (2pts)
justify your answers carefully. (in other words, provide a proof if the statement is true or a disproof if the statement is false.) (8 pts)

Adaylily farm sells a portion of their daylilies and allows a portion to grow and divide. the recursive formula an=1.5(an-1)-100 represents the number of daylilies, a, after n years. after the fifth year, the farmers estimate they have 2225 daylilies. how many daylilies were on the farm after the first year?

F(x)= 1/x-4, g(x)=4x+1/x a. use composition to prove whether or not the functions are inverses of each other. b. express the domain of the compositions using interval notation.

Consider the first four terms of the sequence below. what is the 8th term of this sequence?