P = set of integers which multiples of are 4.T = set of all even square numbers.

Question

Philoid · Accepted Answer

A universal set is the set which can accommodate all other sets in it, i.e. every element of all the sets should be an element of the universal set.

P = set of integers which are multiples of 4

= {x | x ∈ ℤ and x is a multiple of 4}

T = {y | y is an even square number}

Consider the set of all integers, I = {………, -2, -1, 0, 1, 2,………}

We see that every element of both the sets P and T is an element of the set I.

So, set I can serve as the universal set for the sets P and T.

P = set of integers which multiples of are 4.
T = set of all even square numbers.