They form a SUBSET of real numbers
Some examples of sets of real numbers include: The set of positive integers: {1, 2, 3, 4, ...} The set of rational numbers: {1/2, -3/4, 5/6, ...} The set of whole numbers: {..., -2, -1, 0, 1, 2, ...} The set of natural numbers: {0, 1, 2, 3, 4, ...} The set of irrational numbers: {√2, π, e, ...}
1+4 2+3 3+2 4+1 5+0
The set of integers.
16 Recall that every set is a subset of itself, and the empty set is a subset of every set, so let {1, 2, 3, 4} be the original set. Its subsets are: {} {1} {2} {3} {4} {1, 2} {1, 3} {1, 4} {2, 3} {2, 4} {3, 4} {1, 2, 3} {1, 2, 4} {1, 3, 4} {2, 3, 4} {1, 2, 3, 4} * * * * * A simpler rationale: For any subset, each of the elements can either be in it or not. So, two choices per element. Therefore with 4 elements you have 2*2*2*2 or 24 choices and so 24 subsets.
A set is a subset of a another set if all its members are contained within the second set. A set that contains all the member of another set is still a subset of that second set.A set is a proper subset of another subset if all its members are contained within the second set and there exists at least one other member of the second set that is not in the subset.Example:For the set {1, 2, 3, 4, 5}:the set {1, 2, 3, 4, 5} is a subset set of {1, 2, 3, 4, 5}the set {1, 2, 3} is a subset of {1, 2, 3, 4, 5}, but further it is a proper subset of {1, 2, 3, 4, 5}
It is the infinite set {3, 2, 1, 0, -1, -2, -3, -4, -5, ...}
The range ot 2, 1, 3, 4, 4, and 4 is 3.
4
Infinitely many sets: they belong to the set {0, 2, 4, 5, 7, 9}, and to {0, 2, 4, 5, 7, 9, 92} and {0, 2, 3, 4, 5, 7, 9} and {0, 2, 4, 5, 5.35, 7, 9} and {0, 2, 4, 5, 7, sqrt(53), 9} and N0, the set of Natural number including 0, Z, the set of integers, Q, the set of rational numbers, R, the set of real numbers, C, the set of complex numbers as well as any superset of these sets.
The union of two or more sets is a set containing all of the members in those sets. For example, the union of sets with members 1, 2, 3, and a set with members 3, 4, 5 is the set with members 1, 2, 3, 4, 5. So we can write:Let A = {1. 2. 3} and B = {3, 4, 5}, thenA∪B = {1, 2, 3, 4, 5}The intersection of two or more sets is the set containing only the members contained in every set. For example, the intersection of a set with members 1, 2, 3, and a set with members 3, 4, 5 is the set with only member 3. So we can write:Let A = {1. 2. 3} and B = {3, 4, 5}, thenA ∩ B = {3}
x=4
The domain consists of the set {3, 4, 5, 8}