Objectives

Understand the relation between the distance and the absolute value.

Solving absolute value equations and inequalities.

Apply the absolute value to solve radical inequalities.

EXAMPLE 7

EXAMPLE 5

Solution

EXAMPLE 4

Solution

What is the meaning of ??

1-3 Absolute Value in Equations and Inequalities

Precalculus

Math 001

**Home work**

**Page 73 :**

8, 12, 14,

18,22, 24, 26, 28,

36, 38,40,46, 57,59,

8, 12, 14,

18,22, 24, 26, 28,

36, 38,40,46, 57,59,

Discussion point

31) Solve, interpret geometrically, and graph. When applicable, write answers using both inequality notation

and interval notation.

24,29) Write each of the statements as an absolute value equation or inequality.

EXAMPLE 3

Write without the absolute value signs :

d(B,O)=

15) Use the number line shown to find the indicated distances.

The Distance is always positive

**Equations and**

Inequalities

Inequalities

**Chapter 1**

Simplify, and write without absolute value

signs. Do not replace radicals with decimal approximations.

1-3 Exercises: page 73

│2│

│0│

│ -1 │

Example :

**Solving Absolute Value Equations and Inequalities**