If x = {0, 2, 4, 6}, y = {1, 2, 3, 4} and z
MATHEMATICS
WAEC 2014
If x = {0, 2, 4, 6}, y = {1, 2, 3, 4} and z = {1, 3} are subsets of u = {x:0 \(\geq\) x \(\geq\) 6}, find x \(\cap\) (Y' \(\cup\) Z)
- A. {0, 2, 6}
- B. {1, 3}
- C. {0, 6)
- D. {9}
Correct Answer: C. {0, 6)
Explanation
x = {0, 2, 4, 6}; y = {1, 2, 3, 4}; z = {1, 3}
u = {0, 1, 2, 3, 4, 5, 6}
y' = {0, 5, 6}
to find x \(\cap\) (Y' \(\cup\) Z)
first find y' \(\cup\) z = {0, 1, 3, 5, 6}
then x \(\cap\) (Y' \(\cup\) Z) = {0, 6}
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