Question

A = {1, 3, 5, 7, 9}

Answer 1

{1,3,5,6,7,9}

First: intersection B and C ----> 6
Then: union with A -->
1,3,5,6,7,9

Answer 2

Answer:  The correct option is (B) {1, 3, 5, 6, 7, 9}.

Step-by-step explanation:  We are given the following three sets :

A = {1, 3, 5, 7, 9}

B = {2, 4, 6, 8, 10}

C = {1, 5, 6, 7, 9}

We are to find the set A ∪ (B ∩ C).

We have

   A ∪ (B ∩ C)

=  {1, 3, 5, 7, 9}  ∪ ( {2, 4, 6, 8, 10}  ∩  {1, 5, 6, 7, 9} )

=  {1, 3, 5, 7, 9}  ∪ {6}

=  {1, 3, 5, 6, 7, 9}.

Thus,   A ∪ (B ∩ C) = {1, 3, 5, 6, 7, 9}.

Option (B) is CORRECT.