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Mathematical Symbols (Part 3)


Symbol Name Explanation
{ , } keys the set of…

Ex: {a, b, c} represents the set composed of a, b and c.

{} or empty set It means that the set has no elements, it is an empty set.

Ex:
A = {1,2,3}
B = {4,5,6}

THE B =

for all It means "For all" or "For whatever".

Ex: x> 0, x is positive. It means that for any x greater than 0, x is positive.

belongs Indicates relevance relationship.

Ex: 5 N. It means that 5 belongs to the natural numbers.

does not belong Does not belong .

Ex: -1 N. Means that the number -1 does not belong to the natural numbers.

exist Indicates existence.

Ex: x Z | x> 3

It means that there is an x ​​belonging to the set of integers such that x is greater than 3.

is contained

Ex: N Z, that is, the set of natural numbers is contained in the set of integers.

not contained Ex: R N, that is, the set of real numbers is not contained in the set of natural numbers.
contains Ex: Z N, that is, the set of integers contains the set of natural numbers.
if then if then

Q: Jose goes to the market
Q: Jose is going shopping

Pwhat

If Joseph goes to the market then he goes shopping.

if and only if if and only if

Ex:
Q: Maria goes to the beach
Q: Maria will get good grades

Pwhat

Maria goes to the beach if and only if she gets good grades.

THE B union of sets

Reads as "The Union B"

Ex:
A = {5,7,10}
B = {3,6,7,8}

THE B = {3,5,6,7,8,10}

THE B set intersection

Reads as "A Intersection B"

Ex:

A = {1,3,5,7,8,10}
B = {2,3,6,7,8}

THE B = {3,7,8}

A - B sets difference It is read as "difference from A to B".

Is the set of all elements that belong to set A and not belong to set B.

Ex: A-B = {X | xThe ex B}