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State whether the following statement is true or false. Justify your answer. {2, 6, 10, 14} and {3, 7, 11, 15} are disjoint sets. - Mathematics

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Question

State whether the following statement is true or false. Justify your answer.

{2, 6, 10, 14} and {3, 7, 11, 15} are disjoint sets.

Options

  • True

  • False

MCQ
True or False
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Solution

This statement is True.

Explanation:

Let A = {2, 6, 10, 14} and B = {3, 7, 11, 15}

Now A ∩ B = {2, 6, 10, 14} ∩ {3, 7, 11, 15} = Φ

Hence, A and B are disjoint sets.

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Chapter 1: Sets - EXERCISE 1.4 [Page 18]

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NCERT Mathematics [English] Class 11
Chapter 1 Sets
EXERCISE 1.4 | Q 12 (iii) | Page 18
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