Empty Set Or Null Set And Equal Sets (video lessons, examples and solutions)
2:26
Empty Set Or Null Set And Equal Sets (video lessons, examples an…
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onlinemathlearning.com
Given a Non-empty Set X, Let *: P(X) × P(X) → P(X) Be Defined as a * B = (A − B) ∪ (B − A), andMnfore; A, B ∈ P(X). Show that the Empty Set φ is the Identity for the Operation * and All the Elements a of P(X) Are Invertible with A−1 = A. (Hint: (A − φ) ∪ (φ − A) = a and (A − A) ∪ (A − A) = a * a = φ). - Mathematics | Shaalaa.com
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