MATHEMATICS

JAMB 2016 - Question 20

Mathematics 2016 JAMB Past Questions - Question 20: Given U={xx is a positive integer less than 15} and P=(xx is even number from 1 to 14).Find the compliment of

Given U={xx is a positive integer less than 15} and P=(xx is even number from 1 to 14).Find the compliment of
A:
B:
C:
D:
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Correct Answer

C

Explanation

U = {1,2,3,4,5,6,7,8,9,10,11,12,13,14}P = {2,4,6,8,10,12,14}therefore pc = {1,3,5,7,9,11,13}The complement of a set P, denoted as P', is the set of all elements in the universal set U that are not in P.In this case, the universal set U is the set of positive integers less than 15, and set P is the set of even numbers from 1 to 14.The even numbers from 1 to 14 are 2, 4, 6, 8, 10, 12, and 14.The complement of set P, denoted as P', would be the set of all positive integers less than 15 that are not in the set P. Therefore, the complement of set P would be the set of odd numbers from 1 to 14, which are 1, 3, 5, 7, 9, 11, and 13.