Graphing Inequalities on a Number Line

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Show your work for each problem.

1.
What type of circle should be used for ?
1. a)Closed circle (included)
2. b)Open circle (not included)
3. c)Either type works
4. d)No circle needed
2.
For , which direction should you shade?
1. a)Right (toward larger numbers)
2. b)Left (toward smaller numbers)
3. c)Both directions
4. d)No shading needed
3.
For , at which number do you place the circle?
4.
A graph shows a closed circle at with shading to the right. Which inequality does this represent?
1. a)
2. b)
3. c)
4. d)
5.
Is 4 a solution to ? Answer yes or no.
6.
Which of these numbers is NOT a solution to ?
1. a)
2. b)
3. c)
4. d)
7.
Write the inequality: Open circle at 3, shading left. Use x and the correct symbol.
8.
Graph the inequality step by step.
9.
The inequality is the same as which of the following?
1. a)
2. b)
3. c)
4. d)
10.
Solve and describe how to graph it.
11.
The graph shows an open circle at with shading to the left. Write the inequality using x.
12.
Which value is a solution to ?
1. a)
2. b)
3. c)
4. d)
13.
A roller coaster requires riders to be at least 140 cm tall. Write and graph this as an inequality using for height.
14.
Solve and give the boundary point for graphing.
15.
The temperature must stay below 8°C for food safety. Write the inequality using and describe the graph.
16.
A number line shows an open circle at 0 with shading to the right. Which statement is TRUE?
1. a)Zero is a solution
2. b)Negative numbers are solutions
3. c)All real numbers are solutions
4. d)All positive numbers are solutions