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  3. 4pts each consider the following statements about sets abc decide...

Question: 4pts each consider the following statements about sets abc decide...

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  1. (4pts each) Consider the following statements about sets A,B,C. Decide whether each statement is true or false. If the statement is true, prove it.3 If the statement is false, give examples of sets showing the statement is false.

    (a) (A∖C)∩B=A∩(B∖C)
    (b) A∪(B∩C)=(A∪B)∩(A∪C)

    (c) A∪(B∩C)=(A∩B)∪(A∩C).

  2. (d) A∩B⊆A∪B

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