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Compound Inequalities

Last updated over 3 years ago
15 questions
Always put the less than inequality in first before the greater than inequality!
Write and graph an inequality for each scenario in #1-3. Use x for your variable.
1

To receive a discount on movie tickets you must be under the age of 12 or over the age of 65.

1

The playground is intended for children between the ages of 5 and 9.

1

The doctor said Joe should eat between 1500 and 2000 calories each day.

For #4-6, translate the verbal phrase into an inequality. Use x for your variable. Then graph the inequality.
1

All real numbers that are less than or equal to -3 and greater than or equal to -8.

1

All real numbers that are greater than 5 or less than or equal to -1.

1

All real numbers that are greater than or equal to -2.5 and less then 3.5

For #7-10, solve the inequality and graph your solution.
1

1

1

1

For #11-14, write the verbal sentence as an inequality. Then solve the inequality and graph the solution.
1

One less than x is less than -1 or 3 more than x is greater than or equal to 7.

1

Solve it and graph it!

1

The sum of 3x and 1 is greater than -5 and less than or equal to 10.

1

Solve it and 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.
1

Write an inequality to find the range at which the pollen count is not medium. Use x for your variable.