if you’re good with set theory diagrams and word problems please help out with questions 28 and 29

28. Option A is correct

29. Option C is correct

Explanation:

28.

Option C and D are not correct because the intersection of O and X is empty.

As data given, the intersection of O and X is {5, 7}

Option B is not correct because the intersection of O and P includes 1.

1 is not a prime number and therefore is not belonged to P.

=> Only option A is valid.

29.

As the picture shown, the intersection of P and T includes 3 and 4.

=> Complement of the intersection of P and T includes all remaining numbers: 3, 2, 5, 1, 6, 4.

The sum of these numbers is: 3 + 2 + 1 + 5 + 6 + 4 = 21

=> Option C is correct

Hope this helps!

:)