Question

Let the Universal Set, S, have 135 elements. A and B are subsets of S. Set A contains 44 elements and Set B contains 94 elements. If Sets A and B have 28 elements in common, how many elements are in A but not in B?

Answer 1

To find the number of elements in A but not in B, subtract the number of common elements in A and B from the total number of elements in A.

Step-by-step explanation:

To find the number of elements in A but not in B, we need to subtract the number of elements in both A and B from the total number of elements in A. Let's calculate:

Total number of elements in A: 44

Number of elements in A and B (common elements): 28

Number of elements in A but not in B: 44 - 28 = 16