Solving Inequalities Absolute Value Equations and Inequalities

What is the equation of the graph below?

• f(x) = I x I + 1

• f(x) = I x I - 1

• f(x) = -I x I + 1

• f(x) = -I x I - 1

What is the equation of the graph below?

• f(x) = I x + 2 I 

• f(x) = I x + 2 I +2

• f(x) = I x - 2 I +2

• f(x) = I x - 2 I 

What is the domain of the absolute value function?

• (4, 0)

• (0, 4)

• (-infinity, infinity)

• [4, infinity)

What is the equation of this graph?

• y=2|x-3|+1

• y=2|x-1|+3

• y=-2|x-3|+1

• y=-2|x-1|+3

• no solution
• -6 ≤ r ≥ 8
• 6 > r > -8
• -6 < r < 8

∣ 2x + 9 ∣ = 15

• x = 3 

• x = 3
  x = -6

• x = 3
  x = -12

• x = 6
  x = -12

| n + 2 | - 3 ≥ -6

• No Solution

• All Real Numbers

• n ≤ -5  or  n ≥ 1

• -5 ≤ n ≤ 1

Solve for x in the following absolute value inequality.

Solve for the value of m in the following absolute value inequality.

Solve for the value of y in the following absolute value inequality.