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: