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V. Proving/Disproving: 1. a) Suppose A, B and C are sets. What do you need to show to prove the following using the definition of a subset: (((BNA) – C) U ((BnC) – A)) C (B U A) b) Use the definition of subset to prove: If A, B and C are sets then ((BNA) – C) U ((BnC) – A)) c (BU A).

V. Proving/Disproving: 1. a) Suppose A, B and C are sets. What do you need to show to prove the following using the definition of a subset: (((BNA) – C) U ((BnC) – A)) C (B U A) b) Use the definition of subset to prove: If A, B and C are sets then ((BNA) – C) U ((BnC) – A)) c (BU A).

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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V. Proving/Disproving: 1. a) Suppose A, B and C are sets. What do you need to show to prove the following using the definition of a subset: (((BNA) – C) U ((BnC) – A)) C (BUA) | b) Use the definition of subset to prove: If A, B and C are sets then ((BNA) – C) U ((BnC) – A)) c (B U A). Note: Provide a justification for each line of your proof. You are not allowed to use the properties of set operations. You may only use the definition of set operations and the rules of inference to justify the lines of your proof.
Transcribed Image Text:V. Proving/Disproving: 1. a) Suppose A, B and C are sets. What do you need to show to prove the following using the definition of a subset: (((BNA) – C) U ((BnC) – A)) C (BUA) | b) Use the definition of subset to prove: If A, B and C are sets then ((BNA) – C) U ((BnC) – A)) c (B U A). Note: Provide a justification for each line of your proof. You are not allowed to use the properties of set operations. You may only use the definition of set operations and the rules of inference to justify the lines of your proof.
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