Question

PLEASE HELP ME QUICKLY!!! Given that N:{1,2,3,5,8,13} and M:{−9,−8,−6,−4,−2,4}, which statements about N and M are true?

There is more than one correct answer. Select all correct answers.

The intersection of N and M contains only those elements that are in both N and M.
The intersection of N and M is ϕ.
The intersection of N and M is {−9,−8,−6,−4,−2}.
N∪M=∅
​N∩M=∅
(Note: I picked "N∪M=∅" and "The intersection of N and M contains only those elements that are in both N and M." and I got 0.17 percent on the question so one of these two that I picked are correct.)

Answer 1

The intersection of N and M contains only those elements that are in both N and M.

The intersection of N and M is ϕ.

​N∩M=∅

Explanation:

Given

M = { 1, 2, 3, 5, 8, 13}

N = {-9, -8, -6, -4, -2, 4}

Now let us see each statement one by one.

The intersection of N and M contains only those elements that are in both N and M.

The statement is true because by definition intersection of two sets consists of common elements of both sets.

The intersection of N and M is ϕ.

The statement is true. As there is no common element in both sets.

The intersection of N and M is {−9,−8,−6,−4,−2}.

The statement is false because there is not common element in M and N.

N∪M=∅

The statement is false as the union consists of elements of both sets so it can't be empty.

​N∩M=∅

True. Because no common element so intersection will be an empty set..