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Set & set notation
Joshua Hadley
Created on August 22, 2023
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Transcript
Set & Set notation
Gotta start somewhere
sets & subsets
Given S = {1, 2, 3, 4, 5, 6, 7, 8, 9 10}
Real numbers
Set & interval notations
There are many ways to express a set or subset of values. Using either simple bounded or unbounded inequalities, set or interval notations
+ Info
The real number system (R)
Is a huge set (collection) of values. Think of it as a growing set you learned more and more as you progressed through school.
- Natural numbers (N) are your counting numbers. (Pre-K and Kinder)
- Whole numbers (W) just added 0 to natural numbers.
- Integers (Z) are your positive & negative whole numbers.
- Rational Numbers (Q) are your numbers that can be written as a fraction (Ratio).
- Irrational Numbers (I) are the numbers not rational.
CK-12 Foundation
Interval and Set-builder notations
Use parenthesis in interval notation or open circle on a graph to indicate < or > (exclusive) Use square brackets in interval notation or closed circle to indicate >= or <= (inclusive) Inequality notation is just set-builder dressed down (take the "{x| }" off)