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CAMERA CARS

Write and graph a compound inequality that describes the possible heights of a crane on a camera car.

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CAMERA CARS

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  1. EXAMPLE 2 Write and graph a real-world compound inequality CAMERA CARS A crane sits on top of a camera car and faces toward the front. The crane’s maximum height and minimum height above the ground are shown. Write and graph a compound inequality that describes the possible heights of the crane.

  2. EXAMPLE 2 Write and graph a real-world compound inequality SOLUTION Let hrepresent the height (in feet) of the crane. All possible heights are greater than or equal to 4 feet and less than or equal to 18 feet. So, the inequality is 4 h  18.

  3. 2 < x + 5 x + 5 < 9 and 2 – 5< x + 5 – 5 and x + 5 – 5< 9 – 5 and x < 4 –3 < x EXAMPLE 3 Solve a compound inequality with and Solve 2 < x + 5 < 9. Graph your solution. SOLUTION Separate the compound inequality into two inequalities. Then solve each inequality separately. Write two inequalities. Subtract 5 from each side. Simplify. The compound inequality can be written as –3 < x < 4.

  4. Graph: EXAMPLE 3 Solve a compound inequality with and ANSWER The solutions are all real numbers greater than –3and less than 4.

  5. ANSWER c < –3 or c > 4.5 An investor buys shares of a stock and will sell them if the change c in value from the purchase price of a share is less than –$3.00 or greater than $4.50. Write and graph a compound inequality that describes the changes in value for which the shares will be sold. 3. for Example 2 and 3 GUIDED PRACTICE Investing

  6. 4. –7 < x – 5 < 4 ANSWER –2 < x < 9 9 Graph: – 6 – 4 – 2 0 2 4 6 8 10 EXAMPLE 3 for Example 2 and 3 GUIDED PRACTICE Solve a compound inequality with and Solve the inequality. Graph your solution.

  7. 5. 10  2y + 4  24 3 y  10 ANSWER 3 Graph: 0 2 4 6 8 10 12 for Example 2 and 3 GUIDED PRACTICE Solve the inequality. Graph your solution.

  8. 6. –7 < –z – 1< 3 ANSWER –4 < z < 6 EXAMPLE 3 for Example 2 and 3 GUIDED PRACTICE Solve a compound inequality with and Solve the inequality. Graph your solution.

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