Question

{3, 4, 5, 6, 7} and {x: x is a natural number and 7≤ x ≤ 10} are sets.

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

Answer 1

The correct option is A overlapping

We have $\text{{x: x is a natural number and 7 ≤ x ≤ 10}}=\{7,8,9,10\}$
Now, note that $\{3,4,5,6,7\}$ and $\{7,8,9,10\}$ have the element 7 in common, and hence the sets are overlapping
(and hence are not disjoint sets).