Given U = {1,2,3,4,5}, A = {1,2,3}, B = {3,4}, what are A ∩ B and A ∪ B?

Unlock all questions

This demo includes only 20 questions. Upgrade to access hundreds of questions, flashcards, exam simulations, and disable ads.

Full question bankExam simulationsFlashcards
From $24.99Unlock all

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 U = {1,2,3,4,5}, A = {1,2,3}, B = {3,4}, what are A ∩ B and A ∪ B?

Explanation:
Understanding sets: the intersection picks elements that appear in both A and B, while the union combines all elements from either A or B. A = {1,2,3} and B = {3,4} share only the element 3, so A ∩ B is {3}. The union includes every distinct element from both sets, giving {1,2,3,4}. The element 5 isn’t in A or B, so it isn’t in the union. Thus, A ∩ B = {3} and A ∪ B = {1,2,3,4}.

Understanding sets: the intersection picks elements that appear in both A and B, while the union combines all elements from either A or B. A = {1,2,3} and B = {3,4} share only the element 3, so A ∩ B is {3}. The union includes every distinct element from both sets, giving {1,2,3,4}. The element 5 isn’t in A or B, so it isn’t in the union. Thus, A ∩ B = {3} and A ∪ B = {1,2,3,4}.

More Multiple Choice Questions
Subscribe

Get the latest from Passetra

You can unsubscribe at any time. Read our privacy policy