Correct Answer: C
Explanation:
An intersection of two sets is defined as the set of elements that are members of both sets. The correct answer is the pair of sets that has no overlap.
Rationals are defined Rational=a/b if a and b are integers. The irrationals are defined as any real number that is not rational. By definition, a number cannot be both rational and irrational.
Prime numbers are divisible only by 1 and themselves. Even numbers are defined as integer multiples of 2. A number common to both sets is 2.
Prime {2,3,5,7,11...}
Even {0,2,4,6...}
Natural numbers are the counting numbers, while the integers are all the naturals and their opposites. There are many elements common to both sets, such as 2:
Natural {1,2,3...}
Integer {...−2,−1,0,1,2...}
The negatives are all the integers less than zero. And remember that an even number is defined as any integer multiple of two. Again there are many elements in common including −1:
Integer {...−2,−1,0,1,2...}
Negative{0,−1,−2,−3...}
The naturals are the counting numbers, while the wholes are all the naturals and zero. These two sets share many elements in common such as 1.
Natural {1,2,3...}
Whole {0,1,2,3...}