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8 December, 09:18

The empty set is the special set that contains no (i. e., zero) elements in the set. We use the notation empty set to represent the empty set. Let U be the universal set, and let A be a set of elements chosen from U. What is the value of empty set space x space A?

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  1. 8 December, 10:19
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    The value of a Cartesian product between an empty set and set A is equal to the empty set.

    Step-by-step explanation:

    The cartesian product is given by:

    A*B = { (a, b) : a∈A, b∈B}

    This means that each element of set A is combined with an element of set B.

    The empty set is the unique set having no elements and its size is zero.

    Let Ф be the empty set and let A be a set of elements chosen from U.

    A*Ф=Ф

    Since the empty set has no elements, no ordered pairs can be formed and the result is the empty set.
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