EXERCISE 2.5.4: Proving set identities with the set difference operation.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) = A - B

A First Course in Probability (10th Edition)
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ISBN:9780134753119
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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2.5.4: Proving set identities with the set difference operation.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) = A - B
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