6.6 Setting Up Absolute Value Inequalities

6.6 Setting Up Absolute Value Inequalities

Not too different than equations.

Reminder!! What are two equations to setup for this absolute value equation?

• x = 111

• x = -111

Reminder!! What are two equations to setup for this absolute value equation?

• 2x - 1 = 13

• 2x - 1 = -13

Open Ended

How would you set this up? You should have two equations.

|4x + 6| = 10

Open Ended

How would you set this up? You should have two equations.

|-88x| = 2

Open Ended

How would you set this up? You should have two equations.

|-4 - x| = 100

Open Ended

How would you set this up? You should have two equations.

|-x + 8| = 48

Open Ended

How would you set this up? You should have two equations.

|x| = 21

Let's dive right into absolute value inequalities.

• Still need to "break the bars"

• Still need to write two inequalities

How would you set this up? You should have two inequalities.

• x < 13

• x > -13

• Notice the inequality symbol FLIPPED!

How would you set this up? You should have two inequalities.

• 2x - 6 > 12

• 2x - 6 < -12

• Notice the symbol FLIPPED!

How would you set this up? You should have two inequalities.

• -5x > 10

• -5x < -10

• Notice the symbol flipped!

Open Ended

How would you set this up? You should have two inequalities.

|x| < 3

Open Ended

How would you set this up? You should have two inequalities.

|-3x| < 9

Open Ended

How would you set this up? You should have two inequalities.

|2x +8| < 90

Multiple Select

Which two inequalities would you choose to set this up?

|-x + 2| > 1

• -x + 2 > 1

• |-x + 2| > 1

• -x + 2 < -1

• |-x + 2| < -1

Multiple Select

Which two inequalities would you choose to set this up?

|x| < 4

• x < 4

• x > 4

• x < -4

• x > -4

Open Ended

How would you set this up? You should have two inequalities.

|x + 1| < 500