If X = 4 n - 3n - 1, n ∈ N and Y = 9n - 9, n ∈ N , then X ∪ Y is equal to

\[ X = \ 0, 9, 54, \ \] \[ Y = \ 0, 9, 18, 27, \ \] Hence, \( X \) is a subset of \( Y \): \[ X ⊂eq Y \] Therefore, the union of \( X \) and \( Y \) is: \[ X ∪ Y = Y \]

If X = 4<sup>n</sup> - 3n - 1, n ∈ N... - Solved

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Question 11

Mathematics Sets Easy

If X = {4<sup>n</sup> - 3n - 1, n ∈ N} and Y = {9n - 9, n ∈ N}, then X ∪ Y is equal to

(A) Y

(B) X

(C) N

(D) None of these

✓ Correct Answer: Option A Verified Solution

📘 Step-by-Step Solution & Detailed Explanation:

\[ X = \{0, 9, 54, \dots\} \] \[ Y = \{0, 9, 18, 27, \dots\} \] Hence, \( X \) is a subset of \( Y \): \[ X \subseteq Y \] Therefore, the union of \( X \) and \( Y \) is: \[ X \cup Y = Y \]

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