Question

$\text{{x: x is an odd number}}$ and $\text{{x: x is an even number}}$ are sets.

• A. disjoint
• B. overlapping
• C. equal

Answer 1

The correct option is A disjoint

We have $\text{{x: x is an odd number}}$ =$\{1,3,5,7,...\}$ and $\text{{x: x is an even number}}$ =$\{2,4,8,10,...\}$.
Since no element of the first set is an element of the second set and vice-versa, we have $\text{{x: x is an odd number}}$ and $\text{{x: x is an even number}}$ to be disjoint sets.