Question

Given that set A has 47 elements and set B has 25 elements, determine each of the following:

The minimum possible number of elements in A∪B.

a) 25
b) 47
c) 72
d) 22

Answer 1

The minimum possible number of elements in A∪B is 47, which is when all elements of set B are also included in set A.

Step-by-step explanation:

The minimum possible number of elements in the union of set A and set B, written as A∪B, would be the larger of the number of elements in set A or set B if all elements of the smaller set are included in the larger set.

Given that set A has 47 elements and set B has 25 elements, if all elements of set B are also in set A, then the union would have the same number of elements as set A. This means the minimum possible number of elements in A∪B is 47.