Which of following pairs of sets are disjoint {1,2,3,4} and { x:x is a natural number and 4, l

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1.Set Theory

easy

Which of the following pairs of sets are disjoint

$\{1,2,3,4\}$ and $\{ x:x$ is a natural number and $4\, \le \,x\, \le \,6\} $

Option A

Option B

Option C

Option D

Solution

$\{1,2,3,4\}$

$\{ x:x$ is a natural number and $4\, \le \,x\, \le \,6\} = \{ 4,5,6\} $

Now, $\{1,2,3,4\} \cap\{4,5,6\}=\{4\}$

Therefore, this pair of sets is not disjoint.

Standard 11

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