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If set A = {1,2,3} then which of the following is incorrect?(a) Φ∈A(b) Φ∈P(A)(c) Φ⊂A(d) Φ⊂P(A)The question was posed to me during an interview for a job.My question comes from Power Sets topic in section Sets of Mathematics – Class 11

Answer»

Correct option is (a) Φ∈A

The best I can explain: Null set is subset of EVERY set so, Φ⊂P(A) and Φ⊂A. Since Φ⊂A and POWER set of set A is set of all SUBSETS of set A so, Φ∈P(A). Hence Φ∈A is INCORRECT.



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