Absolute value inequalities and graphs

Which interval notation is represented by the graph?

• $\left(-20,\ -10\right)$

• $\left[-20,\ -10\right]$

• $\left(-20,\ -10\right]$

• $\left[-20,\ -10\right)$

Tags

CCSS.HSA.REI.D.12

Which interval notation is represented by the graph?

•  $\left(-16,\ 2\right)$  

• 
   $\left[-16,\ 4\right]$ 

•  $\left(-\infty,-16\right)\cup\left(2,\ \infty\right)$  

• ( $-\infty,-16$ ] , [ $2,\infty$  ) 

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.REI.D.12

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

•  $\left|x+12\right|>5$  

•  $\left|x+12\right|\ge5$  

•  $\left|x+12\right|<5$  

•  $\left|x+12\right|\le5$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

CCSS.HSA.REI.D.12

Select all of the options that show an AND statement.

• The interval $\left(-2,\ 2\right)$

• $\left|x+6\right|>2$

• $\left|x+6\right|<2$

• 
• 

Tags

CCSS.HSA.REI.D.12

CCSS.HSS.CP.A.1

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

•  $-4$   

•  $-2$  

•  $0$  

•  $1$  

•  $4$   

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Identify the intervals that contain the value 6.

• $\left(-\infty,\ 6\right)$

• $\left[-6,\ 6\right]$

• $\left(-\infty,\infty\right)$

• $\left(-3,\infty\right)$

• $\left(-\infty,-3\right)$

Tags

CCSS.HSA.REI.B.3

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

• 
• 
• 
• 

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.REI.D.12

What is the range of the following graph?

•  $\left(-\infty,\infty\right)$  
  

•  $\left(-\infty,0\right]$  

•  $\left[0,\ -\ \infty\right]$  

•  $\left[0,\infty\right)$  

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

The absolute value graph below contains

• a max

• a min

• both

• neither

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the vertex of the following Absolute Value graph?

• y = 0

• (0,0)

• x=0

• (-1,0)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7