1.| x - 6| < 13

CASE 1 CASE 2

X-6 < 13 X-6 -13

X < 13+6 X -13+6

X< 19 X -7

Is it true or false?

2.Given that a, b, and c are numbers and x is a variable

|ax + b| = c is equivalent to

ax + b = c and ax +b = -c

a.

ax+b = -c ax+b = -d

b.

ax + b = c ax+b = 3

c.

ax + b = c ax+b= -c

3.|-6X - 8| 12

CASE 1 CASE 2

-6X-8 12 -6X - 8 -12

-6X 12 +8 -6X -12+8

-6X 20 -6X -4

-6 -6 -6 -6

X -3.33 X 0.67

Is it true or false?

4.Absolute Value Inequalities:

This states that the absolute value of a value "x" has to be smaller than 5. WeKnow that -5 and 5 have an absolute value of 5 so the values that are between

These two values should have absolute values smaller than 5. Look at the number line below. The numbers outlined are solutions to |X| < 5

Is it TRUE or False?

5.Absolute Value Inequalities

Given that a, b, and c are numbers and x is a variable,

|ax + b| < c is equivalent to - c < ax + b < c

|ax + b| c is equivalent to - c < ax + b < c

|ax + b| > c is equivalent to ax + b < -c OR ax + b >c

|ax + b| c is equivalent to ax + b - c OR ax + b c

6.What are the Steps to solve absolute value equations

a.

Steps to solve absolute value equations

1. Isolate the absolute value expression.

2. Rewrite the equation and get rid of the absolute value signs.

(Set the expression inside the absolute value signs equal to the negative of

the "c" value and another equation equal to the positive of the "c" value).

3. Solve for the variable in both equations.

4. Both x values are solutions to the absolute value equation.

b.

1. Solve for the variable in both equations.

2. Both x values are solutions to the absolute value equation.

Solve the following:

| X -5|= 9

CASE 1

X-5= 9

X= 9+5

X= 14

CASE 2

X-5= -9

X= -9+5

X= -4 Is it true or false?