MATHEMATICS

JAMB 2013 - Question 10

Mathematics 2013 JAMB Past Questions - Question 10: If P={x:x is odd,-1 < x < 20} and Q = {y:y is prime, -2 < y < 25} find p n Q .

If P={x:x is odd,-1 < x < 20} and Q = {y:y is prime, -2 < y < 25} find p n Q .
A:
B:
C:
D:
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Correct Answer

C

Explanation

P = {1,3,5,7,9,11,13,15,17,19}P = {-1,2,3,5,7,11,13,17,19}Hence, PQ = { 3,5,7,11,13,17,19}To find the intersection of sets P and Q, denoted as P ∩ Q, we need to identify the elements that are common to both sets.Set P consists of odd numbers between -1 and 20, excluding -1 and 20. So, P = {-19, -17, -15, ..., 17, 19}.Set Q consists of prime numbers between -2 and 25, excluding -2 and 25. So, Q = {2, 3, 5, 7, 11, 13, 17, 19, 23}.To find the intersection of P and Q, we need to identify the elements that are present in both sets. In this case, the intersection of P and Q is {3, 5, 7, 11, 13, 17, 19}.Therefore, P ∩ Q = {3, 5, 7, 11, 13, 17, 19}.