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

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

•  $\left|x+12\right|>5$  

•  $\left|x+12\right|\ge5$  

•  $\left|x+12\right|<5$  

•  $\left|x+12\right|\le5$  

What is the solution to the graph?

• [-∞, -3] U (2, ∞]

• (-∞, -3) U [2, ∞)

• (-∞, -3] U (2, ∞)

• [-∞, -3] U (2, ∞)

Describe how to graph this inequality.

• Solid line, shade below
• Solid line, shade above
• Dashed line, shade below
• Dashed line, shade above

What is the correct absolute value inequality for the graph?

• | x + 2 | > 5
• | x - 2 | < 5

What symbol is used to represent absolute value?

• $\pi$

• ( )

• | |

• $\ge$

Which graph matches the inequality?

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Look at the graph. Write the inequality in interval notation.

• (-2,5)
• (-∞,-2)⋃(5,∞)
• [-2,5]
• (-∞,-2]∪[5,∞)

Which graph represents the solution to the absolute-value inequality:

I 3x + 9 I > 27

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Answer explanation

Remember what sort of graph > means for absolute-value.