Question

(1) The set subtraction law states that A - B = A ∩ B. Use the...

(1) The set subtraction law states that A - B = A ∩ B. Use the set subtraction law as well as the other set identities given in the table to prove each of the following new identities. Label each step in your proof with the set identity used to establish that step.

a. (A - B) - A = ∅

_______________

(2) Use the set identities given in the table to prove the following new identities. Label each step in your proof with the set identity used to establish that step.

a. A' ∩ (A ∪ B) = A' ∩ B

b. A' ∪ (A ∩ B) = A' ∪ B

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