Creating and Solving Compound Inequalities 2-5 Practice and ... - Weebly

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LESSON Creating and Solving Compound Inequalities

2-5

Practice and Problem Solving: A/B

Solve each compound inequality and graph the solution.

1. x > 2 AND x - 1 10

2. 3x + 1 -8 AND 2x - 3 < 5

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3. x > 10 OR x < 0

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4. x - 1 > 11 OR 3x 21

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5. 70 < 3x + 10 < 100

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6. 2 > 2x - 14 > -14

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Write the compound inequality shown by each graph.

7.

8.

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Write a compound inequality to model the following situations. Graph the solution.

9. The forecast in Juneau, AK, calls for between 1.2 and 2.0 inches of rain.

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10. Water from industrial plants must be treated before entering the sewer system. Water that is too acidic or too basic will harm the pipes. A semiconductor manufacturer must adjust the pH of any waste water from the process to between 4.0 and 10.0.

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11. A welding shop figures a new welding machine will be cost effective if it runs less than 2 hours or more than 5.5 hours per day.

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Original content Copyright ? by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.

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6. True for all real y. 7. w 14

3

8. 40 + 0.1m < 30 + 0.25m, m > 66.6. So, you must drive 67 or more miles.

9. Hal is partially correct. He did not take account of the possibility that x + 8 could be negative. The correct solution is x > 9 or x < -8.

10. 3 5 - 2x 0 2 - 2x 2x 2 - 2x + 2x 2x 2 x 1

Practice and Problem Solving: Modified

1. F < 7 2. p + s 14 3. x 3 4. a < 5 5. p 5 6. m < -9 7. n 6 8. x 0 9. 2n 9; n 4.5; Perdita can buy

4 avocadoes. 10. The minimum grade is 70. 11. 20g 100; g 5; the car needs 5 gallons

of gas to travel 100 miles.

Reading Strategies

1. x is greater than or equal to 5; x is at least 5; x is no less than 5.

2. p is greater than 8; Sample answer: Jack has more than 8 pens.

3. m is less than or equal to -2; Sample answer: The temperature will fall to -2? or below.

4. a. g 85

b. 85% c. Sample answers: 87%, 92%

Success for English Learners

1. w 165; 165 w 2. It means to explain what the variable

represents. 3. "No more than" is the same as "less than

or equal to."

LESSON 2-5 Practice and Problem Solving: A/B

1.

2.

3.

4.

5.

6.

7. x 2 AND x < 9 8. x 2 OR x > 9 9. x > 1.2 AND x < 2.0

10. x 4 AND x 10.0

11. x < 2 OR x > 5.5

Original content Copyright ? by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.

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