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Name LESSON Date Class Practice A 3-5 Inequalities Choose an inequality for each situation. x 15 x 15 x 15 x 15 1. There are at least 15 students in the classroom. 2. The book contains fewer than 15 photos. 3. Maya has more than 15 stamps in her collection. 4. There are no more than 15 reptiles at the zoo. Choose an inequality for each situation. x 6 12 x 6 12 x 6 12 x 6 12 5. The sum of a number and 6 is no more than 12. 6. A number decreased by 6 is greater than 12. 7. A number plus 6 is at least 12. 8. A number decreased by 6 is at most 12. Complete the graph of each inequality. 9. x 1 10. m 3 11. t 2 54321 0 1 2 3 4 5 54321 0 1 2 3 4 5 54321 0 1 2 3 4 5 Complete the compound inequality for each statement. 12. A number m is either less than 2 or greater than 9. m 2 or 13. A number y is greater than 2 and less than or equal to 6. y 2 and Copyright © by Holt, Rinehart and Winston. All rights reserved. 41 Holt Mathematics Practice B 3-5 Inequalities Practice A 3-5 Inequalities LESSON LESSON Write an inequality for each situation. Choose an inequality for each situation. x 15 x 15 x 15 x 15 x 7 1. There are no more than 7 peaches in the bowl. 1. There are at least 15 students in the classroom. x 15 2. The aquarium contains more than 20 fish. x 20 2. The book contains fewer than 15 photos. x 15 3. The length of the branch is at most 11 inches. x 11 3. Maya has more than 15 stamps in her collection. x 15 4. There are no more than 15 reptiles at the zoo. x 15 s 3 19 5. A number s increased by 3 is at least 19. Choose an inequality for each situation. x 6 12 x6 4. Mike has at least 6 pencils in his backpack. Write an inequality for each statement. x 6 12 x 6 12 m 10 25 6. A number m decreased by 10 is less than 25. x 6 12 2y 12 7. Twice a number y is no more than 12. 5. The sum of a number and 6 is no more than 12. x 6 12 6. A number decreased by 6 is greater than 12. x 6 12 7. A number plus 6 is at least 12. x 6 12 8. A number decreased by 6 is at most 12. x 6 12 Graph each inequality. 9. x 3 10. n 4 Complete the graph of each inequality. 9. x 1 11. g 2 11. t 2 54321 0 1 2 3 4 5 54321 0 1 2 3 4 5 54321 0 1 2 3 4 5 1 1 2 12. y 2 54321 0 1 2 3 4 5 10. m 3 4p9 8. The sum of 4 and a number p is greater than 9. 54321 0 1 2 3 4 5 54321 0 1 2 3 4 5 Write a compound inequality for each statement. 54321 0 1 2 3 4 5 13. A number x is either less than 8 or greater than 15. x 8 or x 15 Complete the compound inequality for each statement. m 2 or 12. A number m is either less than 2 or greater than 9. 13. A number y is greater than 2 and less than or equal to 6. y 2 and 41 Copyright © by Holt, Rinehart and Winston. All rights reserved. m9 y 6 Holt Mathematics 14. A number t is greater than 4 and less than or equal to 1. t 4 and t 1 15. A number m is greater than or equal to 0 and less than 6.1. m 0 and m 6.1 LESSON Write an inequality for each situation or statement. The table summarizes how to graph inequalities. x 72.5 1. The temperature of the water is at most 72.5°. Inequality 1 2 x 2 x 4 1 2. The trip took more than 42 hours. 3. The height of the building is at least 10.3 meters. x 10.3 4. A number n increased by 4.7 is greater than 5.7. n 4.7 5.7 x 2 3g 18 5. Three times a number g is no more than 18. m 2 2 3 2 6. Half a number m is less than 3. Graph each inequality. The open circle at 2 shows that the value 2 is not included in the graph. All numbers greater than or equal to 2 x 2 All numbers less than 2 x 2 All numbers less than or equal to to 2 54321 0 1 2 3 4 5 The closed circle at 2 shows that the value 2 is included in the graph. 54321 0 1 2 3 4 5 54321 0 1 2 3 4 5 Graph each inequality. 54321 0 1 2 3 4 5 –2 1. x 3 • Read x 3 as “x is greater than 3.” • Draw an open circle at 3. • Draw an arrow to the right of 3. 1 2 54321 0 1 2 3 4 5 Write a compound inequality for each statement. b 1.2 or b 3.4 10. A number b is either less than 1.2 or greater than 3.4. 1 11. A number h is greater than or equal to 2 and less than 0. 12. A number x is greater than 3 and less than or equal to 2. 54321 0 1 2 3 4 5 3. x 5 x 3 and x 2 4. x 4 54321 0 1 2 3 4 5 54321 0 1 2 3 4 5 1 5. x 0 6. x 2 x3 54321 0 1 2 3 4 5 1 2 54321 0 1 2 3 4 5 54321 0 1 2 3 4 5 x 1 54321 0 1 2 3 4 5 Copyright © by Holt, Rinehart and Winston. All rights reserved. 2. x 1 • Read x 1 as “x is less than or equal to 1.” • Draw a closed circle at 1. • Draw an arrow to the left of 1. 54321 0 1 2 3 4 5 1 2 h and h 0 Write an inequality for each graph. 14. Graph 54321 0 1 2 3 4 5 3 12 9. m 2.5 13. Words All numbers greater than 2 54321 0 1 2 3 4 5 1 8. y 32 Holt Mathematics Review for Mastery 3-5 Inequalities Practice C 3-5 Inequalities LESSON 7. x 4 42 Copyright © by Holt, Rinehart and Winston. All rights reserved. 43 Copyright © by Holt, Rinehart and Winston. Holt Mathematics Copyright © by Holt, Rinehart and Winston. All rights reserved. 95 44 Holt Mathematics Holt Mathematics