Given that sets A and B are subsets of the universal set U, which of the following is equivalent to $(A \cup B)'$?
A$A' \cup B'$
B$A' \cap B'$CORRECT
C$A \cap B$
D$A \cup B$
GCEFurther MathematicsSets and Binary Operations2022
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Why the answer is B, and why the others tempt you.
By De Morgan's Law, the complement of a union equals the intersection of the complements: (A ∪ B)' = A' ∩ B'. Option A is De Morgan's Law for the complement of an intersection. Options C and D are not complements of A ∪ B.
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