Write and graph an inequality for each scenario in #1-6. Use x for your variable.
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Question 1
1.
To receive a discount on movie tickets you must be under the age of 12 or over the age of 65.
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Question 2
2.
Graph your inequality:
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Question 3
3.
The playground is intended for children between the ages of 5 and 9.
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Question 4
4.
Graph your inequality:
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Question 5
5.
The doctor said Joe should eat between 1500 and 2000 calories each day.
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Question 6
6.
Graph your inequality:
For #7-12, translate the verbal phrase into an inequality. Use x for your variable. Then graph the inequality.
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Question 7
7.
All real numbers that are less than or equal to -3 and greater than or equal to -8.
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Question 8
8.
Graph your inequality:
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Question 9
9.
All real numbers that are greater than 5 or less than or equal to -1.
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Question 10
10.
Graph your inequality:
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Question 11
11.
All real numbers that are greater than or equal to -2.5 and less then 3.5
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Question 12
12.
Graph your inequality:
For #13-20, solve the inequality and graph your solution.
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Question 13
13.
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Question 14
14.
Graph your inequality:
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Question 15
15.
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Question 16
16.
Graph your inequality:
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Question 17
17.
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Question 18
18.
Graph your inequality:
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Question 19
19.
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Question 20
20.
Graph your inequality:
For #21-26, write the verbal sentence as an inequality. Then solve the inequality and graph the solution.
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Question 21
21.
One less than x is less than -1 or 3 more than x is greater than or equal to 7.
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Question 22
22.
Solve it:
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Question 23
23.
Graph it:
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Question 24
24.
The sum of 3x and 1 is greater than -5 and less than or equal to 10.
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Question 25
25.
Solve it:
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Question 26
26.
Graph it:
Last question, woo hoo!
Weather forecasts will often give reports on the pollen count. For people suffering from allergies, the pollen count indicates the severity of their symptoms. If a pollen count is high, the severity of their symptoms are increased. The table shows the ranges for high, medium, and low pollen counts.
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Question 27
27.
Write an inequality to find the range at which the pollen count is not medium. Use x for your variable.