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Given: U = {Even numbers between 0 and 30}, P = {Multiples of 6 between 0 and 30} Q = {Multiples of 4 between 0 and 30}, find (P U Q)’
- A. {0, 2, 6, 22, 26}
- B. {0, 10, 14, 22, 16}
- C. {2, 10, 14, 22, 26}
- D. {2, 4, 14, 18, 26}
QUICK ANSWER…
C
SOLUTION…
U = {Even numbers between 0 and 30} = {2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30}
P = {Multiples of 6 between 0 and 30} = {6, 12, 18, 24, 30}
Q = {Multiples of 4 between 0 and 30} = {4, 8, 12, 16, 20, 24, 28}
(P U Q) = union/combination of P and Q = {4, 6, 8, 12, 16, 18, 20, 24, 28, 30},
(P U Q)’ = elements in the universal set ‘U’ which is not present in (P U Q) therefore,
(P U Q)’ = {2, 10, 14, 22, 26}
Now for the right answer to the above question:
- Option A is incorrect.
- Option B is incorrect.
- C is correct.
- D is not the correct answer.
KEY-POINTS…
You may please note these/this:
- U = universal set,
- Even numbers are factors of 2,
- Complement of a set is another set that contains the elements that is present in the universal set but absent in the original set.
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/ culled from 2015 JAMB-UTME mathematics PAST question 48 /
