Question

Let u = 1, 2, 3, ___________, 14, 15 be the universal set and a = 1, 2, 3, 5, 10 and b = 9, 3, 1, 5, 6, 2, 4, 8. Find:

Answer 1

To find the intersection and union of two sets, we need to compare the elements in each set and identify the common elements for the intersection, and combine all elements while removing duplicates for the union.

Step-by-step explanation:

The given question asks to find the intersection and union of two sets. Let me explain it step by step:

1. The universal set u has the elements from 1 to 15.
2. The set a has the elements 1, 2, 3, 5, and 10.
3. The set b has the elements 9, 3, 1, 5, 6, 2, 4, and 8.
4. To find the intersection of sets a and b (denoted as A ∩ B), we need to identify the common elements between them. In this case, the common elements are 1, 2, 3, and 5.
5. To find the union of sets a and b (denoted as A ∪ B), we need to combine all elements from both sets while removing any duplicates. In this case, the union of a and b is the set with elements 1, 2, 3, 5, 9, 6, and 8.