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What are the properties of the ''less than or equal to'' relation?
Wiki User
∙ 13y ago
The relation ''less than or equal to," written as ≤, has the following three properties on the set of real numbers, R:
1) x ≤ x for any x Є R
2) If x ≤ y and y ≤ x then x = y for any x, y Є R
3) If x ≤ y and y ≤ z then x ≤ z for any x, y, z Є R
See the corresponding related links for basic set theory and the definition of a relation.
Also, this relation is an example of a partial ordering relation, see the corresponding related link for more information.
Wiki User
∙ 13y ago
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What is the definition of inequality?
An inequality is simply a relation between two mathematical expressions that is not strictly equal. For example, the relation can be "greater than" (>), less than (
What does transitive mean in math terms?
Transitive Property (mathematics), property of a mathematical relation such that if the relation holds between a and b and between b and c, then it also exists between a and c. The equality relation, for example, is transitive because if a = b and b = c, then a = c. Other transitive relations include greater than (>), less than (<), greater than or equal to (?), and less than or equal to (?).
What are the types of proportion?
Less than Less than or equal to Equal to Greater than Greater than or equal to
Is 10 less than 10?
No, ten is equal to ten. If you see a less than/equal to sign, the statement is true.A less than/equal to sign has a less than sign on top of an equal sign.
How do you graph 1 less than or equal to x less than or equal to 5?
times it
What are the different ways to represent a relation?
A relation can be equals, not equal, less than, not less than, more (greater) than, not more (greater) than, approximately, rounded.
What is the definition of inequality?
An inequality is simply a relation between two mathematical expressions that is not strictly equal. For example, the relation can be "greater than" (>), less than (
What is the mathematical symbol for not less than?
If a is not less than b then a is greater than or equal to b. The symbol for "greater than or equal to " is > with a bar under it -- a combination of the equal sign (=) and the greater than sign (>). In many computer languages you can use >= with no space between for this relation.
What does inequality mean?
Inequalities are less than, equal to, less than or equal to, or more than or equal to. Inequalities can NOT contain an equal sign.
What does transitive mean in math terms?
Transitive Property (mathematics), property of a mathematical relation such that if the relation holds between a and b and between b and c, then it also exists between a and c. The equality relation, for example, is transitive because if a = b and b = c, then a = c. Other transitive relations include greater than (>), less than (<), greater than or equal to (?), and less than or equal to (?).
What is the comparison operator used for not equal to in Excel?
You can use the Not function or the <> operator, which is the < and the > beside each other. To see if the values in A1 and A2 are not equal to each other, you can type: =A1<>A2 or =Not(A1=A2) In each case they will either give you TRUE if they are not equal or FALSE if they are equal, in the cell that you enter the formula into.
Does up to mean greater than or equal to or less than or equal to?
Less than or equal to
What is the opposite of less than equal sign?
The opposite of less than or equal to is greater than or equal.And also:The opposite of greater than or equal to is less than or equal.
What are the types of proportion?
Less than Less than or equal to Equal to Greater than Greater than or equal to
Is 10 less than 10?
No, ten is equal to ten. If you see a less than/equal to sign, the statement is true.A less than/equal to sign has a less than sign on top of an equal sign.
What is the difference between the symbol less than and less than or equal to?
the symbol for less than is "<" while the symbol for less than or equal to is "<" with "_" underneath it.
Greater than less than equal show the symbols?
> greater than < less than = equal to
