What this means is that in general we cannot change the order of the difference of two sets and expect the same result.
What does b mean in math sets.
To use a technical term from mathematics we would say that the set operation of difference is not commutative.
A set is a collection of things usually numbers.
Let s say that our universe contains the numbers 1 2 3 and 4 so u 1 2 3 4 let a be the set containing the numbers 1 and 2.
A mathematical concept is independent of the symbol chosen to represent it.
Common symbols used in set theory.
Set subset union intersection element cardinality empty set natural real complex number set.
We can more precisely state that for all sets a and b a b is not equal to b a.
That is x is an element of the intersection a b if and only if x is both an element of a and an element of b.
Venn diagrams can be used to express the logical in the mathematical sense relationships between various sets.
For many of the symbols below the symbol is usually synonymous with its corresponding concept but in some situations a different convention may be used.
The following examples should help you understand the notation terminology and concepts relating venn diagrams and set notation.
The number 9 is not in the intersection of the.
The intersection of the sets 1 2 3 and 2 3 4 is 2 3.
We can list each element or member of a set inside curly brackets like this.
The following is a list of mathematical symbols used in all branches of mathematics to express a formula or to represent a constant.