Question

Explain why 12 € P ∩ Q.

a. Because 12 is a factor of 36 and 60
b. Because 12 is an odd number less than 30
c. Because 12 is a multiple of 36 and 60
d. Because 12 is a prime number

Answer 1

The intersection of sets P and Q refers to the elements that are common to both sets. In this case, 12 is a factor of 36 and 60, making it a common element in both sets.

Step-by-step explanation:

The intersection of sets P and Q, denoted as P ∩ Q, refers to the elements that are common to both sets. In this case, we need to determine why 12 € P ∩ Q.

From the given information, we can see that 12 is a factor of both 36 and 60. This means that 12 is a common element in both sets P and Q. Therefore, the correct answer is a. Because 12 is a factor of 36 and 60.