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Let A and B be sets. Prove that if A C B, then P(A) ≤ P(B). State the converse of this and prove or disprove it.

Let A and B be sets. Prove that if A C B, then P(A) ≤ P(B). State the converse of this and prove or disprove it.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let A and B be sets. Prove that if A C B, then P(A) ≤ P(B). State the converse of this and prove or disprove it.
Transcribed Image Text:Let A and B be sets. Prove that if A C B, then P(A) ≤ P(B). State the converse of this and prove or disprove it.
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