Absolute Value and Inequalities Review

Write the equation.

• y>|x-2|

• y>|x|+2

• y>|x+2|

• y>|x|-2

• y< -|x-3|

• y<-|x+3|

• y< -|x|+3

• y<-3|x|

Write the equation

• y<|x+1|+4

• y<|x+4|+1

• y<|x-1|+4

• y<|x-1|-4

• y>|x-3|-2

• y>|x+3|-2

• y>|x-3|+2

• y>|x+3|+2

What is the first step in solving

|x + 4| - 8 > 2

• Subtract 2 on both sides

• Set up two inequalities

• Divide 8 on both sides

• Add 8 on both sides

| -8x | < 8

What is the correct first step?

• separate into two inequalities with an "and"

• separate into two inequalities with an "or"

• divide both sides by -8

Solve:  |k| < -8

• x > 8 or x < -8

• -8 < k < 8

• No solution

• Infinite solution

Describe the first step in solving the absolute value inequality

• Add 5 on both sides

• Divide both sides by -5

• Set up two inequalities

• no solution

What is the parent function of the graph above?

• y= -x

• y=x²

• y = √ x

• y = | x |

• y = x

What is the range?

• -7 ≤ y ≤ 5

• -9 ≤ y ≤ 3

• -5.5 ≤ y ≤ -0.5

• -∞ < y ≤ 5