Question

Write the given sentence in set language using the proper symbols '$\in$' or '$\notin$'

$32$ is not a member of the set of multiples of $3$

Answer 1

Given sentence:

$32$ is not a member of the set of multiples of $3$.

The symbol '$\in$' means is a member of or “belongs to” and the symbol '$\notin$' means “is not a member of” or does not belongs to".

Set of multiples of $3$ are $\left\{3,6,9,12,15,18,21,24,27,30,33,36,....\right\}$ and it can be clearly seen that $32$ is not a member of this group.

The proper symbol can written as $32\notin$$\left\{3,6,9,12,15,18,21,24,27,30,33,36,....\right\}$

Hence, $32\notin$$\left\{setofmultiplesof3\right\}$