Question

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

ii If $E=\text{{factor of 16}}$ and $F=\text{{factor of 20}}$, then $E=F$.

Answer 1

Step: Find the elements of both sets to state true or false
Given $E=\text{{factor of 16}}$ and $F=\text{{factor of 20}}$

So,
$E=\text{{factor of 16}}$

$E=\text{{1,2,4,8,16}}$

And,
$F=\text{{factor of 20}}$

$F=\text{{1,2,4,5,10,20}}$

We can see that $\text{{1,2,3,4,8,16}}\ne \text{{1,2,4,5,10,20}}$.

Therefore, $E\ne F$

Hence, the given statement is false.