Question

Let U =(1,2, 3, 4, 5, 6, 2. 8), A(2,4,6), B= (1, 2, 5, 8}, and C= (1, 3, 7}. Find the following. (Enter your answers as a comma-separated ist) AUB______?

Answer 1

To find the union A ∪ B, which includes all unique elements in either set, we combine the elements of A = (2, 4, 6) and B = (1, 2, 5, 8), yielding the union set (1, 2, 4, 5, 6, 8).

Step-by-step explanation:

The question asks to find the union of the sets A and B. The union of two sets includes all the elements that appear in either set, without duplication. Here, we have A = (2, 4, 6) and B = (1, 2, 5, 8).

To find the union A ∪ B, we combine the elements of both sets:

• A contains 2, 4, and 6.
• B contains 1, 2, 5, and 8.

When we combine these, we get 1, 2, 4, 5, 6, 8. It's important to note that while the number 2 appears in both A and B, it is only listed once in the union.

Therefore, A ∪ B = (1, 2, 4, 5, 6, 8).