Question

Solve the 2nd question​

Answer 1

Given: P = {x : x ∈ W and 4 ≤ x}

And, Q = {x : x ∈ N and x < 6}

To Find: P ∪ Q and, P ∩ Q

★Solution★

Writing the given sets in roster form:

P = {4, 5, 6, 7, 8...}

Q = {1, 2, 3, 4, 5}

∴ P ∪ Q = {1,2,3,4,5,6,7,8...} =N

&, P ∩ Q ={4, 5}

Yes, (P ∪ Q) ⊃ (P ∩ Q)

Explanation:

For a set to be a superset of another set, it must have all the elements of itself in the other set and atleast one element other than its own elements.

Here, the elements of the intersection of P & Q are present in their unions morevover, their union has many other elements other than 4, and 5.