If A = x : x = 3 n - 2 n - 1 , n ∈ N and B = x : x = 4 n - 1 , n ∈ N , then

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Question: Answered & Verified by Expert

If

A = \{x : x = 3^{n} - 2 n - 1, n \in N\}

and

B = \{x : x = 4 (n - 1), n \in N\}

, then

MathematicsSets and RelationsJEE Main

Options:

A $A \subset B$
B $B \subset A$
C $A \cup B = A$
D $A \cap B = B$

Solution:

2054 Upvotes Verified Answer

The correct answer is:

A \subset B

$A = \{0, 4, 20, 72 \dots \dots . .\}$
$B = \{0, 4, 8, 12 \dots \dots . .\}$

Clearly, $A \subset B$

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