ITPEC IP October 2020 Question 4
ITPEC IP October 2020 — Question 4 of 100
Every element in the intersection of A and B is necessarily in their union, so A ∩ B is a subset of A ∪ B. An intersection contains only elements present in both sets, while a union contains every element present in either set, including all elements common to both.
Answer (c)
Why not others:
- the union can contain intersection elements, so it is not always within the intersection's complement
- the union need not be a subset of A because it may contain B-only elements
- the intersection is within A, not within the complement of A
Key rule: For any two sets, A ∩ B ⊆ A ⊆ A ∪ B and A ∩ B ⊆ B ⊆ A ∪ B.
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