Representing solutions of linear inequalities in one variable on a number line

Graph the absolute value inequality: |x - 2| > 3.

• x = 2

• x > 5

• x < -1

Correct or incorrect?

• Correct

• Incorrect

#12

• A
• B
• C
• D

Which graph matches the inequality?

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Write an inequality for Graph 3.

(Select all that apply)

 $\left|2x-3\right|>19$  

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The following number-line can be represented as:

• $\left|x-5\right|<9$

• $\left|x+5\right|>9$

• $\left|x-2\right|<7$

• $\left|x-2\right|>7$

What is the correct equation for this graph?

• y > -|x| + 7/2

• y > -2|x| + 4

• y > -1/2|x| + 2

• y > |x| + 4

What number would you circle on the number line for x = | –3 |?

• 3

• -3

• 0.30

• 30

 $f(x)\ge|x+3|-9$  

Is the line for the inequality solid or dashed?

• Dashed

• Solid

• Curly & cute