Answer:
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=∅
Step-by-step 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..
. Then 
, and differentiating both sides with respect to 
gives
, you get
, so 
and 
. So 
