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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.
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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 (?).
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Less than Less than or equal to Equal to Greater than Greater than or equal to
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How do you graph 1 less than or equal to x less than or equal to 5?
times it
