Write and graph an inequality for each scenario in #1-6. Use x for your variable.
Question 1
1.
To receive a discount on movie tickets you must be under the age of 12 or over the age of 65.
Question 2
2.
Graph your inequality:
Question 3
3.
The playground is intended for children between the ages of 5 and 9.
Question 4
4.
Graph your inequality:
Question 5
5.
The doctor said Joe should eat between 1500 and 2000 calories each day.
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.
Question 7
7.
All real numbers that are less than or equal to -3 and greater than or equal to -8.
Question 8
8.
Graph your inequality:
Question 9
9.
All real numbers that are greater than 5 or less than or equal to -1.
Question 10
10.
Graph your inequality:
Question 11
11.
All real numbers that are greater than or equal to -2.5 and less then 3.5
Question 12
12.
Graph your inequality:
For #13-20, solve the inequality and graph your solution.
Question 13
13.
Question 14
14.
Graph your inequality:
Question 15
15.
Question 16
16.
Graph your inequality:
Question 17
17.
Question 18
18.
Graph your inequality:
Question 19
19.
Question 20
20.
Graph your inequality:
For #21-26, write the verbal sentence as an inequality. Then solve the inequality and graph the solution.
Question 21
21.
One less than x is less than -1 or 3 more than x is greater than or equal to 7.
Question 22
22.
Solve it:
Question 23
23.
Graph it:
Question 24
24.
The sum of 3x and 1 is greater than -5 and less than or equal to 10.
Question 25
25.
Solve it:
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.
Question 27
27.
Write an inequality to find the range at which the pollen count is not medium. Use x for your variable.