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Form the intersection for the following sets. M={}, N={6, 7, 8, 9, 10}, MN={______}.

a. {0, 6, 7, 8, 9, 10}
b. {0, 6, 7, 8, 9, 10}
c. {6, 7, 8, 9, 10}
d. {0, 6, 7, 8, 9, 10}

User Madmenyo
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8.9k points

1 Answer

6 votes

Final answer:

The intersection of set M, which is empty, and set N, which contains elements {6, 7, 8, 9, 10}, is the empty set {}. None of the provided multiple-choice options are correct. thus, the correct option is C).

Step-by-step explanation:

The question asks us to form the intersection of two sets: M and N. The set M is given as an empty set {}, and the set N is given as {6, 7, 8, 9, 10}. The intersection of two sets consists of elements that are common to both sets.

Since set M is empty, there are no common elements to be shared with set N. Consequently, the intersection of M and N is also an empty set, which we denote as {}.

Therefore, the correct option is none of the provided answers, as they all contain elements, while the true intersection should be empty.

The complete question is: Form the intersection for the following sets. M={}, N={6, 7, 8, 9, 10}, MN={______}.

a. {0, 6, 7, 8, 9, 10}

b. {0, 6, 7, 8, 9, 10}

c. {6, 7, 8, 9, 10}

d. {0, 6, 7, 8, 9, 10} is:

User Btzr
by
8.3k points

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