# AlgebraPage 7

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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.

Slide 93 Example 6-1b

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

Slide 94 Example 6-1c

Slide 95 Example 6-2a

Solve each inequality separately.

Slide 96 Example 6-2b

Slide 97 Example 6-3a

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

Slide 98 Example 6-3b

Slide 99 Example 6-4a

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

Slide 100 Example 6-4b

Slide 101 Example 6-5a

Solve each inequality.

Slide 102 Example 6-5b

Slide 103 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.

Slide 104 Example 6-6b

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

Slide 105 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

Slide 106 End of Lesson 6

Slide 107 Algebra2.com

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