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R1.1 REAL NUMBERS ORDER AND ABSOLUTE VALUE. Set – A collection of objects Sub-set – Some of the items in the set.

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Presentation on theme: "R1.1 REAL NUMBERS ORDER AND ABSOLUTE VALUE. Set – A collection of objects Sub-set – Some of the items in the set."— Presentation transcript:

1 R1.1 REAL NUMBERS ORDER AND ABSOLUTE VALUE

2 Set – A collection of objects Sub-set – Some of the items in the set

3 RATIONAL NUMBERS Numbers that can be written as a quotient of two integers No zeros allowed in the denominator Numbers that can be written as decimals that either terminate or repeat

4 INTEGERS {… -3, -2, -1, 0, 1, 2, 3 …}

5 NATURAL NUMBERS {1, 2, 3, 4 …} Numbers that are used for counting

6 IRRATIONAL NUMBERS Numbers that cannot be written as a quotient of two integers Decimals that do not terminate and do not repeat

7 PRACTICE

8 ABSOLUTE VALUE

9 INEQUALITIES Inequality tells you about the relative size of two values. Sentences containing, ≤, ≥, or ≠

10 Ex.: x < 0 represents the set of all numbers less than zero Inequality Notation: Number Line: Interval Notation:

11 Ex.: x ≥ 5.6 represents the set of all numbers greater than or equal to 5.6. Inequality Notation: Number Line: Interval Notation:

12 PRACTICE Give a verbal description and the interval notation of the subset of real numbers that is represented by the inequality, and sketch the subset on the real number line. 1.x < 2 2.0 ≤ x ≤ 5


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