4. Prove that(a) A\B=A\(ANB)(b) A\(B\C) = (A\B)U(ANC)(c) (A\B)\C=A\(BUC)

To prove the given equality we shall use the following rules 1. A \ B=A∩Bc 2. De Morgan's Law:…

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4. Prove that (a) A\B=A\(ANB) (b) A\(B\C) = (A\B)U(ANC) (A\B)\C=A\(BUC) (c)

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter1: Line And Angle Relationships

Section1.5: The Format Proof Of A Theorem

Problem 9E: Which part Given or Prove of the proof depends upon the a hypothesis of theorem? b conclusion of...

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Question

4. Prove that
(a) A\B=A\(ANB)
(b) A\(B\C) = (A\B)U(ANC)
(c) (A\B)\C=A\(BUC)

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