Warm–up #1. Warm–up #1 Solutions Lesson 1 – 2 Ordering & Absolute Value Day 1 Advanced Math/Trig.

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Presentation transcript:

Warm–up #1

Warm–up #1 Solutions

Lesson 1 – 2 Ordering & Absolute Value Day 1 Advanced Math/Trig

Learning Objective To order real numbers To graph inequalities To understand properties of addition & multiplication of inequalities To understand properties of absolute values

Number Line origin less < greater >

1. Graph: –1 ≤ x < 3 x ≥ –1 AND x < 3 (AND is the overlap) –1 3 ≥ or ≤ closed circle open circle Another way: since x is in between –1 & 3,shade in between

2. Graph: x > 2 OR x ≤ 0 0 2

3. Write a statement that has the given graph 3 8 –2 –2 ≤ x ≤ 3 OR x > 8

Properties of Inequality Addition Property: If x > 3 then, x + 2 > 3 + 2

Properties of Inequality Multiplication Properties: If 2x > 8, then x > 4 Mult by ½ If –2x > 8, then x < –4 Mult by –½ (Flip inequality sign if mult. or divide by a negative #) FLIP!!

Name the property of inequalities that justifies each statement 1. If 5x > 10, then x > 2 Mult. Prop of Ineq (Mult by 1/5) 2. If 3 + x < 2 + 2x, then 3 < 2 + x Add Prop of Ineq (Add –x) 3. If x > 0, then 5x > 0 Mult. Prop of Ineq (Mult by 5)

Absolute Value treat like ( )

Express without absolute value symbols

Ticket Out the Door

Homework #102 Pg. 18 # 1 – 55 odd