Question

In each case, make use of an appropriate formula. 9. Find the value of n(A ? B) if n(A) = 12, n(B) = 14, and n(A ? B) = 5. 10. Find the value of n(A ? B) if n(A) = 16, n(B) = 28, and n(A ? B) = 5. 11. Find the value of n(A ? B) if n(A) = 20, n(B) = 12, and n(A ? B) = 25. 12. Find the value of n(A ? B) if n(A) = 20, n(B) = 24, and n(A ? B) = 30. 13. Find the value of n(A) if n(B) = 35, n(A ? B) = 15, and n(A ? B) = 55. 14. Find the value of n(B) if n(A) = 20, n(A ? B) = 6, and n(A ? B) = 30. Draw a Venn diagram and use the given information to fill in the number of elements in each region. 15. n(A) = 19, n(B) = 13, n(A ? B) = 25, n(A') = 11 16. n(U) = 43, n(A) = 25, n(A ? B) = 5, n(B') = 30

          In each case, make use of an appropriate formula.
9. Find the value of n(A ? B) if n(A) = 12, n(B) = 14,
and n(A ? B) = 5.
10. Find the value of n(A ? B) if n(A) = 16, n(B) = 28,
and n(A ? B) = 5.
11. Find the value of n(A ? B) if n(A) = 20, n(B) = 12,
and n(A ? B) = 25.
12. Find the value of n(A ? B) if n(A) = 20, n(B) = 24,
and n(A ? B) = 30.
13. Find the value of n(A) if n(B) = 35, n(A ? B) = 15,
and n(A ? B) = 55.
14. Find the value of n(B) if n(A) = 20, n(A ? B) = 6, and
n(A ? B) = 30.
Draw a Venn diagram and use the given information to fill
in the number of elements in each region.
15. n(A) = 19, n(B) = 13, n(A ? B) = 25,
n(A') = 11
16. n(U) = 43, n(A) = 25, n(A ? B) = 5,
n(B') = 30

In each case, make use of an appropriate formula.
9. Find the value of n(A ? B) if n(A) = 12, n(B) = 14,
and n(A ? B) = 5.
10. Find the value of n(A ? B) if n(A) = 16, n(B) = 28,
and n(A ? B) = 5.
11. Find the value of n(A ? B) if n(A) = 20, n(B) = 12,
and n(A ? B) = 25.
12. Find the value of n(A ? B) if n(A) = 20, n(B) = 24,
and n(A ? B) = 30.
13. Find the value of n(A) if n(B) = 35, n(A ? B) = 15,
and n(A ? B) = 55.
14. Find the value of n(B) if n(A) = 20, n(A ? B) = 6, and
n(A ? B) = 30.
Draw a Venn diagram and use the given information to fill
in the number of elements in each region.
15. n(A) = 19, n(B) = 13, n(A ? B) = 25,
n(A') = 11
16. n(U) = 43, n(A) = 25, n(A ? B) = 5,
n(B') = 30

Added by Derrick S.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Jessica Horn

05/30/2022

Step 1

We need to find n(A U B) using the formula n(A U B) = n(A) + n(B) - n(A ∩ B). Show more…

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In each case, make use of an appropriate formula. 9. Find the value of n(A ∪ B) if n(A) = 12, n(B) = 14, and n(A ∩ B) = 5. 10. Find the value of n(A ∪ B) if n(A) = 16, n(B) = 28, and n(A ∩ B) = 5. 11. Find the value of n(A ∩ B) if n(A) = 20, n(B) = 12, and n(A ∪ B) = 25. 12. Find the value of n(A ∩ B) if n(A) = 20, n(B) = 24, and n(A ∪ B) = 30. 13. Find the value of n(A) if n(B) = 35, n(A ∩ B) = 15, and n(A ∪ B) = 55. 14. Find the value of n(B) if n(A) = 20, n(A ∩ B) = 6, and n(A ∪ B) = 30. Draw a Venn diagram and use the given information to fill in the number of elements in each region. 15. n(A) = 19, n(B) = 13, n(A ∪ B) = 25, n(A') = 11 16. n(U) = 43, n(A) = 25, n(A ∩ B) = 5, n(B') = 30.