Question

State whether the sets $E=\left\{x:xisaprimenumberlessthan10\right\}$ and $F=\left\{1,3,5,7,9\right\}$ are equal or not.

Answer 1

For set $E$, the elements will be prime numbers ( numbers having only two factors, i.e., $1$ and the number itself) less than $10$.

Therefore, set $E$ in roster form will be represented as $E=\left\{2,3,5,7\right\}$

Now, comparing the elements of set $E=\left\{2,3,5,7\right\}$ and set $F=\left\{1,3,5,7,9\right\}$, we can see that the elements are not same.

Hence the given sets are not equal.