Assume that P(A) P(B). Show that A = B – InterviewSolution

InterviewSolution

1.

Assume that P(A) P(B). Show that A = B

Answer»

Let x ∈ A ∴ (X) ∈ P(A)

= {x} ∈ P(B) ∵ P(A) = P(B)

∴ x ∈ B.

∴ A ⊂ B

Let y∈ B ∴ (y)∈ P(B)

(y) ∈ P(A) ∵ P(A) = P(B)

y ∈ A

B ⊂ A

From(1) and (2),we get A = B

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