Union of each of following pairs of sets : A = { x:x is a natural number and 1, < ,x, le ,6} B =

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1.Set Theory

easy

Find the union of each of the following pairs of sets :

$A = \{ x:x$ is a natural number and $1\, < \,x\, \le \,6\} $

$B = \{ x:x$ is a natural number and $6\, < \,x\, < \,10\} $

Option A

Option B

Option C

Option D

Solution

$A = \{ x:x$ is a natural number and $1\, < \,x\, \le \,6\} = \{ 2,3,4,5,6\} $

$B = \{ x:x$ is a natural number and $6\, < \,x\, < \,10\} = \{ 7,8,9\} $

$A \cup B=\{2,3,4,5,6,7,8,9\}$

$\therefore A \cup B = \{ x:x \in N$ and $1\, < \,x\, < \,10\} $

Standard 11

Mathematics

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