Let A, B, C, and D be subsets of a universal set U. 3. (a) Prove that if A C B, then BCA (b) Prove that (Ax C) U (B x D) C (AU B) x (CU D) (c) Let P(X) denote the power set of a set X. Prove or...

Let A, B, C, and D be subsets of a universal set U.<br>3.<br>(a) Prove that if A C B, then BCA<br>(b) Prove that<br>(Ax C) U (B x D) C (AU B) x (CU D)<br>(c) Let P(X) denote the power set of a set X. Prove or disprove:<br>P(An B)<br>P(A) n P(B)<br>(d) Prove or disprove:<br>(AUB) x (C U D)<br>(Ax C) U (B x D)<br>

Extracted text: Let A, B, C, and D be subsets of a universal set U. 3. (a) Prove that if A C B, then BCA (b) Prove that (Ax C) U (B x D) C (AU B) x (CU D) (c) Let P(X) denote the power set of a set X. Prove or disprove: P(An B) P(A) n P(B) (d) Prove or disprove: (AUB) x (C U D) (Ax C) U (B x D)

Jun 05, 2022

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Let A, B, C, and D be subsets of a universal set U. 3. (a) Prove that if A C B, then BCA (b) Prove that (Ax C) U (B x D) C (AU B) x (CU D) (c) Let P(X) denote the power set of a set X. Prove or...

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