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9 March, 08:11

Can the union of two sets have a solution of a null set? why or why not?

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  1. 9 March, 08:50
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    Let's assume we have two sets

    First set is A

    second set is B

    we know that

    Union of two sets is the set that contains elements or objects that belong to either A or to B or to both.

    So, it does not leave any element from any set

    So, for union of two sets to become null, sets A and B won't have any element

    For example:

    set A={ }

    set B = { x : for all real value of x, x^2 + 1=0 }

    Since, set B won't have any elements

    so,

    A∪B=Ф

    Yes, the union of two sets have a solution of a null set ... Answer
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