1.Set Theory
easy

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

$A = \{ x:x$ is a natural number and multiple of $3\} $

$B = \{ x:x$ is a natural number less than $6\} $

Option A
Option B
Option C
Option D

Solution

$A = \{ x:x$ is a natural number and multiple of $3\}  = \{ 3,6,9 \ldots \} $

As $B = \{ x:x$ is a natural number less than $6\}  = \{ 1,2,3,4,5,6\} $

$A \cup B=\{1,2,4,5,3,6,9,12 \ldots\}$

$\therefore A \cup B = \{ x:x = 1,2,4,5$ or a multiple of $3\} $

Standard 11
Mathematics

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