Term
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Definition
| from a latin word meaning demand these are fundamental statements or assumptions which we accept without proof in Mathematics. They are also called axioms, from teh Greek meaning that which is thought to be fitting or worthy |
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Term
| properties of real numbers |
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Definition
| this term refers to teh postulates or axioms which we accepted without proff in teh study of arithmetic. |
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Term
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Definition
| for any real numbers a and b only one of the following can be true: a=b a is greater than b a is less than b |
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Term
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Definition
| for any real number a, a=a |
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Term
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Definition
| for any real numbers a and b if a=b then b=a |
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Term
| transitivity for equality |
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Definition
| for any real number a b and c if a=b and b=c then a=c |
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Term
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Definition
| for any real numbers a and b if a=b then a can be substituted for b in any expression and vice versa |
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Term
| transitivity for inequality |
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Definition
| for any real numbers a b and c if a is greater than b and b is greater than c than a is greater than c. likewise if less than |
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