Question

Answer, whether the following statements are true or false. Give reasons.

If $n\left(P\right)=n\left(M\right),\text{then}P\leftrightarrow M.$

Answer 1

Step 1: State true or false for the given statement

Given: $n\left(P\right)=n\left(M\right)$
$\Rightarrow$ Number of elements of Set P and Set M are equal.

$\Rightarrow$ Set P and Set M are equivlent sets.

$\Rightarrow P\leftrightarrow M$

Hence, the given statement is true.