Algebra

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7

Example 6-1a

Method 1 Write the compound inequality using the word and. Then solve each inequality.

Method 2 Solve both parts at the same time by adding 2 to each part. Then divide each part by 3.

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Example 6-1b

Graph the solution set for each inequality and find their intersection.

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Example 6-1c

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Example 6-2a

Solve each inequality separately.

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Example 6-2b

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Example 6-3a

All of the numbers between –3 and 3 are less than 3 units from 0.

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Example 6-3b

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Example 6-4a

All of the numbers not between –3 and 3 are greater than 3 units from 0.

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Example 6-4b

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Example 6-5a

Solve each inequality.

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Example 6-5b

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Example 6-6a

Housing According to a recent survey, the average monthly rent for a one-bedroom apartment in one city is $750. However, the actual rent for any given one-bedroom apartment might vary as much as $250 from the average.

Write an absolute value inequality to describe this situation.

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Example 6-6b

Rewrite the absolute value inequality as a compound inequality. Then solve for r.

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Health The average birth weight of a newborn baby is 7 pounds. However, this weight can vary by as much as 4.5 pounds.

a. Write an absolute value inequality to describe this situation.

b. Solve the inequality to find the range of birth weights for newborn babies.

Example 6-6c

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End of Lesson 6

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Algebra2.com

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