Bellwork ~ Solve & Graph 1.) 4 < x + 2 < 10 2.) -3 < -x < -2 3.) 8 + 2x < 6 or 3x -2 > 13

Bellwork ~ Solve & Graph 1.) 4 < x + 2 < 10 4 -2 < x + 2 -2 < 10 - 2 2 < x < 8 2 8

Bellwork ~ Solve & Graph 2.) -3 < -x < -2 -3/-1 < -x/-1 < -2/-1 3 > x > 2 2 3

Bellwork ~ Solve & Graph 8+ 2x < 6 8-8+2x<6-8 2x/2 < -2/2 x < -1 3x-2+2>13+2 3x > 15 3x/3 > 15/3 x > 5 -1 5

To be able to Solve Absolute Value Inequalities. Today’s Objective To be able to Solve Absolute Value Inequalities.

Recall….. |x| = 7… To Solve this absolute value equation, we created two equations: x = 7 and x = -7

Now Consider…. |x| < 7…. To solve this Absolute Value Inequality, we must also create two inequalities. x < 7 and x > -7

|x| < 7 x < 7 and x > -7 can be written as…. -7 < x < 7...In other words Any Number greater than -7 or less than 7 will solve the inequality |x| < 7.

|x| < 7 -7 < x < 7 -7 7

Example 1 |x + 4| < 3….Rewrite -3 < x + 4 < 3 -7 -1

Rewrite the following: 1.) |x - 2| < 6 2.) |2x + 4| < 2 3.) |x| < 9 1.) -6 < x - 2 < 6 2.) -2 < 2x + 4 < 2 3.) -9 < x < 9

Example 2 |x + 1| >2….Rewrite x+1<-2 or x+1>2 Now solve each separately…..

Example 2 x+1>2 x < -3 x > 1 x+1-1>2-1 x+1-1<-2-1

Rewrite the following: 1.) |x - 2| > 6 2.) |2x + 4| > 2 3.) |3 - x| > 9 1.)x - 2<-6 or x - 2>6 2.)2x+4<-2 or 2x+4>2 3.)3-x<-9 or 3-x>9

Page 313 Open your Books to Page 313 Read the Study Tip in the blue box.

You Solve These 1.) |x + 9| > 13 2.) |3x - 15| < 12

Bellwork 1/10 Rewrite, solve and graph….. 1.) |x + 9| > 13

1.) |x + 9| > 13 x < -22 x > 4 x + 9 > 13 x + 9 <-13 -24 4

2.) |3x - 15| < 12 3 < 3x < 27 3/3 < 3x/3 < 27/3 1 9

Rewrite the following: 1.) |x-2|<5 2.) |x+6|>2 3.) |3x - 4|>1 4.) |2x + 2| < 2

Rewrite the following: 1.) |x-2|<5 -5 < x-2 < 5 2.) |x+6|>2 x+6 > 2 or x+6 < -2

Rewrite the following: 3.) |3x - 4|>1 3x-4 > 1 or 3x-4 < -1 4.) |2x + 2| < 2 -2 < 2x+2 < 2

classwork Do worksheet 6.4 Homework page 316(2 - 30 even)