Absolute Value Equations and Inequalities

Absolute Value Equations and Inequalities

Multiple Choice

I 5 I

• 5

• -5

• -5 and 5

Multiple Choice

Solve:

• {24}
• {-6, -8}
• {16, 4}
• {24, -24}

Multiple Choice

Evaluate each expression.
| x + 9 | = -5

• -14
• -4
• {-14, -4}
• no solution

Multiple Choice

|2a - 10| = 6

• a = 8, a = 5
• a = 2
• a = 8
• a = 8, a = 2

Multiple Choice

|v + 8| − 5 = 2 

• {-1,-15}
• {-1,-5}
• {-15,15}
• No Solution

Multiple Choice

|−4 + 5x| = 16

• {16/5,12/5}
• {4,-5}
• {-12/5, 4}
• 4

Multiple Choice

Solve:

|−2n| + 10 = −50

• {30, -30}

• {20,-20}

• {-5,5}

• No Solution

Multiple Choice

|−4 + 5x| = 16

• {16/5,12/5}
• {4,-5}
• {-12/5, 4}
• 4

Multiple Choice

∣ 2x + 9 ∣ = 15

• x = 3 
• x = 3
  x = -6
• x = 3
  x = -12
• x = 6
  x = -12

Multiple Choice

4|5x-2|+7>39

• -6/5<x>2
• x=2 or x=-6/5
• x=2 and x=-6/5
• x<-6/5 or x>2

Multiple Choice

|b-8|+10>22

• -4<b<20
• b<-4 or b>20
• 20<b<-4
• b=-4 or b=20

Multiple Choice

| x + 3 | ≤ 2

• No Solution
• All Real Numbers
• -5 ≤ x ≤ -1
• 1 ≤ x ≤ 5

Multiple Choice

Identify the interval notation that corresponds to the given interval notation.  $\left[-12,\ 12\right]$  

•  $\left|x+1\right|\le11$  

•  $\left|x+11\right|\le1$  

•  $\left|x\right|+1\le11$  

•  $\left|x\right|-11\le1$  

Multiple Select

Select all of the options that show an AND (Nest) statement.

• The interval $\left(-2,\ 2\right)$

• $\left|x+6\right|>2$

• $\left|x+6\right|<2$

Multiple Choice

Identify the absolute value inequality that would generate the given graph.

•  $\left|x+12\right|>5$  

•  $\left|x+12\right|\ge5$  

•  $\left|x+12\right|<5$  

•  $\left|x+12\right|\le5$  

Multiple Choice

Identify the inequality with a solution represented by the given graph.

Multiple Select

Identify each value that is a solution to the indicated inequality.  $\left|x\right|-2\le0$   

•  $-4$   

•  $-2$  

•  $0$  

•  $1$  

•  $4$   

Multiple Choice

Which compound inequality represents the graph?

• m < -1 OR m > 2

• -1 < m < 2

• m > -1 OR m < 2