If A = {4, 7, 10, 13, 17} and B = {3, 5, 7, 9}, then which of the following statements is true?

NetherCraft 0

This is a multiple choice question and the answers are:

A ∪ B = {7}

B ⊆ B

B ⊂ A

Only answer if your 100% sure, so no guessing please 🙂

6 Answers

  • The second choice is the correct one.

    Specifically, the first answer is wrong because the union of sets A and B would be {3, 4, 5, 7, 9, 10, 13, 17}.

    The third answer is wrong because B is not a subset of A – there are elements in B that are not also in A.

    The second answer is, in fact, true by default, because for *any* set B, B ⊆ B (in other words, every set is its own subset).

    Hope that helps!

  • second one is always true. A set is always its own subset.

    just for sanity’s sake…

    first one is false: the union of A and B is not {7}

    third one is false: B is not a subset of A because A does not contain 3,5, and 9.

  • This question is impossible to answer without guessing because your multuple choices are unclear.

    But if choice one is A intersect B, then that choice is correct.

  • A ∪ B = {7} is false

    B ⊂ A is false

    B ⊂ B is always true

  • A U B is not equal to {7} so, FALSE

    B is a subset os B, so TRUE

    B is not a subset of A, so FALSE

  • The middle one is the answer.

    B is included and equal to B.

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