English

State true or false for the following statement given below: Let R and S be the sets defined as follows:R = {x ∈ Z | x is divisible by 2}S = {y ∈ Z | y is divisible by 3}then R ∩ S = φ

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Question

State true or false for the following statement given below:

Let R and S be the sets defined as follows:
R = {x ∈ Z | x is divisible by 2}
S = {y ∈ Z | y is divisible by 3}
then R ∩ S = φ

Options

  • True

  • False

MCQ
True or False
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Solution

This statement is False.

Explanation:

Since 6 is divisible by both 3 and 2.

Thus R ∩ S ≠ Φ

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Chapter 1: Sets - Solved Examples [Page 12]

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NCERT Exemplar Mathematics [English] Class 11
Chapter 1 Sets
Solved Examples | Q 19 | Page 12

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