Prove the first distributive law from Table 1 by showing

Chapter 1, Problem 23E

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QUESTION:

Problem 23E

Prove the first distributive law from Table 1 by showing that if A.b. and C are sets, then A ∪ (B ∩ C) = (A ∪b) ∩ (A ∪ C).

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QUESTION:

Problem 23E

Prove the first distributive law from Table 1 by showing that if A.b. and C are sets, then A ∪ (B ∩ C) = (A ∪b) ∩ (A ∪ C).

ANSWER:

SOLUTION

Step 1

We have to prove the distributive law of sets.

Distributive law  states that

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