Question

Which among the following represents idempotent law?

• A. (A\cup\phi=A)
• B. (A\cup A=A)
• C. (A\cup A'=\phi)
• D. (A\cup B=B)

Hint:

Remember: [ A\cup A=A, A\cap A=A ] are called Idempotent Laws.

Answer 1

The Correct Option is B

Concept: The Idempotent Laws of set theory are: [ A\cup A=A ] and [ A\cap A=A. ] These laws indicate that combining a set with itself does not change the set.

Step 1: Recall the idempotent laws. [ A\cup A=A ] [ A\cap A=A. ]

Step 2: Compare with the options. Only option (B) matches the standard idempotent law. [ A\cup A=A ]