Question

Let U = {1, 2, 3, 4, 5, 6, 7, 8}, A = {3, 5, 8}, B = {3, 4, 6, 7}, and C = {1, 2, 6}.
Find the following. (Use the roster method to write the set. Enter EMPTY or ∅ for the empty set.
A ∪ (B ∩ C)

Answer 1

Answer:

A ∪ (B ∩ C) = {3,5,6,8}

Step-by-step explanation:

U = {1, 2, 3, 4, 5, 6, 7, 8},

A = {3, 5, 8},

B = {3, 4, 6, 7},

and C = {1, 2, 6}.

We are to find out

A ∪ (B ∩ C)

First let us find out

$(B \bigcap C)={6}$

(since 6 is the only common element between B and C

Now we find union of A with this set as any element belonging to atleast one set

A ∪ (B ∩ C) = {3,5,6,8}