Question

If X = {4ⁿ – 3n – 1 :n ∈ N} and Y = {9n – 1}:n ∈ N}, then X ∩ Y = ______.

Options

• X

• Y

• `phi`

• {0}

Answer 1

If X = {4ⁿ – 3n – 1 :n ∈ N} and Y = {9n – 1}:n ∈ N}, then X ∩ Y = X.

Explanation:

X = 4ⁿ – 3n – 1 : n ∈ N

and Y = (9n – 1): n ∈ N

`\implies` X = {0, 9, 54, 243, .......}

and Y = {0, 9, 18, 27, 36, 45, 54, ..........}

∴ X ∩ Y = X