If 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

If A = {1,2,3} and B = {3,4}, what is A ∪ B?

Explanation:
Union means combining all elements that appear in either set, without duplicating any element. Here, A has 1, 2, and 3, and B has 3 and 4. When we take the union, we include 1, 2, 3 (from A) and 4 (from B); the 3 is counted once. The result is {1, 2, 3, 4}. The other options leave out some elements: one misses 4, another misses 1 and 2, and another misses 2 and 3, so they aren’t the full union.

Union means combining all elements that appear in either set, without duplicating any element. Here, A has 1, 2, and 3, and B has 3 and 4. When we take the union, we include 1, 2, 3 (from A) and 4 (from B); the 3 is counted once. The result is {1, 2, 3, 4}. The other options leave out some elements: one misses 4, another misses 1 and 2, and another misses 2 and 3, so they aren’t the full union.

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