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).

Step 1</p>

We have to prove the distributive law of sets.

Distributive law states that

Step 2</p>

Let

This means that is either in A or in and C

This can be written as

by the distributive property of OR and AND