Absolute Value Equations & Inequalities

Would this be set up as an

AND or an OR?

|2x + 6| ≥ 8

• OR

• AND

Would this be set up as an

AND or an OR?

|x - 11| < 2

• AND

• OR

Would this be set up as an

AND or an OR?

5 > |3x - 1|

• AND

• OR

Would this be set up as an

AND or an OR?

16 ≤ |-x + 9|

• AND

• OR

|x + 3| = -5

• x = -8 or x = 2

• no solutions

• x = 8 or x = -2

• x = 5 or x = -5

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 range of the absolute value function?

• (-infinity, infinity)

• [3, infinity)

• [0, infinity)

• (-infinity, 3]

Solve:
 |x + 3| > 8

• x > 5 or x < -11

• x > 5

• all real numbers

• no solution

• no solution
• a> -1/6 or a< -5/6
• a>1/2 or a< -3/2
• all real numbers