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Simplify A∪(A∩B) Using the Absorption Law | JEE Sets

JEE Maths question with a full step-by-step solution.

Question
If AA and BB are any two sets, then A∪(A∩B)A \cup (A \cap B) is equal to:
AAAcorrect
BBB
CAcA^c
DBcB^c
Solution
A∩B⊆AA \cap B \subseteq A, so the union adds nothing new. By the absorption law,
A∪(A∩B)=A.A \cup (A \cap B) = A.
 Correct answer: (1)
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