# Find A ∩ (B ∪ C): A = {2, 3, 5, 8} B = {3, 5, 7} C = {2, 4, 8}

A set is defined as a collection of objects. Each object inside a set is called an 'Element'.

## Answer: For A = {2, 3, 5, 8} B = {3, 5, 7} C = {2, 4, 8}, A ∩ (B ∪ C) = {2, 3, 5, 8}

We will use the distributive property of sets to find A ∩ (B ∪ C).

**Explanation:**

Elements of set A = {2, 3, 5, 8}

Elements of set B = {3, 5, 7}

Elements of set C = {2, 4, 8}

Now, to calculate a ∩ (b U c), we have to find (a ∩ b) and (a ∩ c).

Here,

(A ∩ B) = {3, 5}

(A ∩ C) = {2, 8}

Thus, (a ∩ b) U (a ∩ c) = {3, 5} U {2, 8} = {2, 3, 5, 8}

Hence, A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C) = {2, 3, 5, 8}

### Therefore, A ∩ (B ∪ C) = {2, 3, 5, 8}

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