Sets to Number Theory 3.1

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Equal

2 sets that contain the same elements (order is not important).
Finite Set

A set with n elements for some nonnegative integer n.
Infinite Set

A set that is not finite.
Empty/Null Set

A set with no elements.
Subset

Such as set A = {2, 3, 5. 12} and B = {2, 3, 4, 5, 9, 12}, every member of A is also a member of B. So A is said to be a subset of B.
Proper Subset

Such as set A being a subset of B, but A ≠ B (there is at least 1 element of B that is not an element of A).
Power Set

For a set S, forming a new set whose elements are all of the subset of S.
Ordered Pair

Denoted by (x, y), where x is the 1st component of the ordered pair and y is the 2nd component.