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Answer:
yes
Step-by-step explanation:
The set union includes all members of each set and any that are in both sets. If the intersection of the sets is non-empty, so there are elements in both sets, those elements are included in the union.
Example:
A = {1, 2}
B = (2, 3}
A ∩ B = {2}
A ∪ B = {1, 2, 3}, so we can see (A∩B) ∈ A∪B.
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In the attachment, the area shaded blue (light or dark) is the union of the sets. You can see that the intersection is part of that.
