Given A = {1,2,3} and B = {3,4}, what is A ∩ B?

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Prepare for the AMSOC 26-003 Module A Test. Utilize flashcards and multiple choice questions with hints and explanations. Ace your exam!

Multiple Choice

Given A = {1,2,3} and B = {3,4}, what is A ∩ B?

Explanation:
Intersection is the set of elements that appear in both sets. For A = {1,2,3} and B = {3,4}, the only element that appears in both is 3, so A ∩ B = {3}. The other options don’t fit because {4} is only in B, {1,3} includes 1 which isn’t in B, and {1,2,3} includes 1 and 2 which aren’t in B.

Intersection is the set of elements that appear in both sets. For A = {1,2,3} and B = {3,4}, the only element that appears in both is 3, so A ∩ B = {3}. The other options don’t fit because {4} is only in B, {1,3} includes 1 which isn’t in B, and {1,2,3} includes 1 and 2 which aren’t in B.

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