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(1) Problem 4 from Section 4.1: "Let, A, B, C be sets. Write the following in “if... then" format and prove: (a) x B is a sufficient condition for x € AUB. (b) An BnC=0 is a necessary condition for AnB = 0. (c) AUB= B is a necessary and sufficient condition for AC B."

(1) Problem 4 from Section 4.1: "Let, A, B, C be sets. Write the following in “if... then" format and prove: (a) x B is a sufficient condition for x € AUB. (b) An BnC=0 is a necessary condition for AnB = 0. (c) AUB= B is a necessary and sufficient condition for AC B."

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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(1) Problem 4 from Section 4.1: "Let, A, B, C be sets. Write the following in "if... then" format and prove: (a) x B is a sufficient condition for x € AUB. An BnC = 0) is a necessary condition for AnB = 0. (c) AUB = B is a necessary and sufficient condition for AC B."
Transcribed Image Text:(1) Problem 4 from Section 4.1: "Let, A, B, C be sets. Write the following in "if... then" format and prove: (a) x B is a sufficient condition for x € AUB. An BnC = 0) is a necessary condition for AnB = 0. (c) AUB = B is a necessary and sufficient condition for AC B."
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