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11 Cards in this Set
- Front
- Back
Define: set |
Is a collection of objects, known as elements of the set. |
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How is a set laid out? |
Each element is separated by commas and enclosing it all in curly brackets. It's in the form S={|x|2,3,4} |
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Describe this set: S={|x|x is an integer and 3 |
This describes the set {4,5,6,7} |
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What does x€S read? |
X is an element of the set S, or x is in S |
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What does N represent? |
The set of all natural numbers, e.g. N= {1,2,3} |
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What does N represent? |
The set of all natural numbers, e.g. N= {1,2,3} |
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What does Z represent? |
Z is the set of all integers, e.g Z={-3,-2,-1,0,1,2} |
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Define Natural number |
A natural number is a whole, non-negative number. E.g. 1,2,3... |
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Define rational number |
A number that can be made by dividing two integers. E.g. Can be written in the form p/q |
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Define irrational number |
It is the group of numbers that CANNOT be expressed in the form a/b , e.g. (2)^1/2 |
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Define proof by contradiction |
Form of "indirect proof" that establishes the truth or validity of a proposition by showing that the propositions being false would imply a contradiction. |