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11 Cards in this Set

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  • Back

Define: set

Is a collection of objects, known as elements of the set.

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}

Describe this set: S={|x|x is an integer and 3

This describes the set {4,5,6,7}

What does x€S read?

X is an element of the set S, or x is in S

What does N represent?

The set of all natural numbers, e.g. N= {1,2,3}

What does N represent?

The set of all natural numbers, e.g. N= {1,2,3}

What does Z represent?

Z is the set of all integers, e.g Z={-3,-2,-1,0,1,2}

Define Natural number

A natural number is a whole, non-negative number. E.g. 1,2,3...

Define rational number

A number that can be made by dividing two integers. E.g. Can be written in the form p/q

Define irrational number

It is the group of numbers that CANNOT be expressed in the form a/b , e.g. (2)^1/2

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.