EasyMathematics
+4 / -1
If A and B are two given sets, then A ∩ (A ∩ B)’ is equal to
A
A
B
B
C
ϕ
D
A ∩ B′
Explanation
A ∩ (A ∩ B)’ = A ∩ (A′ ∪ B′), Through De Morgan’s Law = (A ∩ A′) ∪ (A ∩ B′) = ϕ ∪ (A ∩ B′) = (A ∩ B′). We can check the result through the Venn diagram also.
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