Question

For each set, given below, state whether it is finite set, infinite set or the null set:

vi. {Even numbers not divisible by 2}

Answer 1

Step: Check whether the given set is finite, infinite or null set.

Given set: { Even numbers not divisible by 2}

Since all even numbers are divisible by 2, no even number exists which is not divisible by 2.

$\therefore$ The set will contain no elements.

And we know that the set with no elements in it, is called an empty set or null set.

Hence, the given set is a null set.