Linear inequalities (one variable)

|x + 9| < 6

can be stated as the set of points whose distance from ______ is less than ______.

• 6 -9

• 6; 9

• -9; 6

• 9; 6

Which interval notation is represented by the graph?

• $\left(-20,\ -10\right)$

• $\left[-20,\ -10\right]$

• $\left(-20,\ -10\right]$

• $\left[-20,\ -10\right)$

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• 
• 
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Which inequality has the solution set shown on the given graph?

Answer explanation

• -place starting point (aka the middle of the solution) INSIDE the absolute value (with its opposite sign)

-distance traveled in either direction goes on other side of equal sign/inequality

What is the absolute value of the ship?

• 0

• 110

• 80

• -20

Is the line for the inequality

f(x) ≥|x+3|- 9 going to solid or dotted?

• Dotted

• Solid

• I don't know

Which interval notation is represented by the graph?

•  $\left(-16,\ 2\right)$  

• 
   $\left[-16,\ 4\right]$ 

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

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

Solve the absolute Value inequality and graph. 

• A
• B
• C
• D

Write the absolute value inequality represented in the graph.

• $f\left(x\right)\le\left|x-1\right|+3$

• $f\left(x\right)\ge\left|x-1\right|+3$

• $f\left(x\right)<\left|x+1\right|+3$

• $f\left(x\right)\le\left|x+1\right|-3$