1. Warm–up #1

2. Warm–up #1 Solutions

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

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

5. Number Line 0123456-2-3-4-5-6 origin less < greater >

6. 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

7. 2. Graph: x > 2 OR x ≤ 0 0 2

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

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

10. 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!!

11. 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)

12. Absolute Value treat like ( )

13. Express without absolute value symbols

17. Ticket Out the Door

18. Homework #102 Pg. 18 # 1 – 55 odd