Question

Consider the following sets of numbers:

U= Universal set =
{natural numbers less than or equal to 25};
Set A = {2, 4, 6, 8, 10, 12, 14};
Set B = {multiples of 3 less than or equal to 25}.
What is the intersection of sets A and B?
a. {2, 4, 6, 8, 10, 12, 14}
b. {3. 6, 9, 12, 15, 18, 21, 24}
c. {1, 2, 3, 4, 5, 6, 7, 8}
d. {1, 2, 4, 6, 8, 10, 12, 14}

Answer 1

The intersection of sets A and B is {6, 12}.

Step-by-step explanation:

The intersection of two sets A and B is the set of elements that are common to both sets. In this case, set A contains even numbers less than or equal to 14, and set B contains multiples of 3 less than or equal to 25. To find the intersection, we need to find the numbers that are in both sets. The intersection of sets A and B is {6, 12}. Therefore, the correct answer is option b. {3, 6, 9, 12, 15, 18, 21, 24}.

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