4B Solve Inequalities by Addition or Subtraction
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1 Solve the inequality. c + 4 < 8 The solution is c < 4. c < t 5 The solution is t 9. t 9 y 9 < 11 The solution is y < 20. y < > b 8 The solution is 18 < b or b > < b esolutions Manual - Powered by Cognero Page 1
2 c The solution is c 13. c 13 t 7 < 25 The solution is t < 32. t < 32 Solve the inequality. Graph the solution set on a number line. 6 + h 12 The solution is h 6. Graph the solution. Place a closed dot at 6. Draw a line and an arrow to the right. h 6 esolutions Manual - Powered by Cognero Page 2
3 15 y < 8 The solution is 7 < y y > 7. Graph the solution. Place an open dot at 7. Draw a line and an arrow to the right. 7 < y 7 n + 9 The solution is 16 n or n 16. Graph the solution. Place a closed dot at 16. Draw a line and an arrow to the right. n ELEVATORS An elevator can hold less than 2,800 pounds. Write and solve an inequality that describes how much additional weight the elevator can hold if it currently holds 2,375 pounds. Write and solve an inequality. Let x represent the amount of weight that can be added to the elevator. The solution is x 425. x + 2,375 2,800; x 425 esolutions Manual - Powered by Cognero Page 3
4 Solve the inequality. 3 < n 8 The solution is 5 < n. 5 < n h 24 The solution is h 8. h 8 y +13 The solution is y 19. y 19 m The solution is 1.6 m. 1.6 m esolutions Manual - Powered by Cognero Page 4
5 x > 0.3 The solution is x > 1. x > 1 w The solution is w w 13.6 Solve the inequality. Graph the solution set on a number line. 11 > t + 7 The solution is 18 > t or t < 18. Graph the solution. Place a open dot at 18. Draw a line and an arrow to the left. 18 > t or t < 18 esolutions Manual - Powered by Cognero Page 5
6 m 1 The solution is m 6. Graph the solution. Place a closed dot at 6. Draw a line and an arrow to the right. m 6 Model with Mathematics 21 < a 16 The solution is 5 < a or a > 5. Graph the solution. Place an open dot at 5. Draw a line and an arrow to the right. 5 < a esolutions Manual - Powered by Cognero Page 6
7 t 6.2 < 4 The solution is t < Graph the solution. Place an open dot at Draw a line and an arrow to the left. t < 10.2 esolutions Manual - Powered by Cognero Page 7
8 Copy and Solve Solve the inequality. Graph the solution set on a number line. Show your work on a separate sheet of paper n The solution is n. Graph the solution. Place a closed dot at. Draw a line and an arrow to the left. n esolutions Manual - Powered by Cognero Page 8
9 6 > x + The solution is x or x <. Graph the solution. Place an open dot at. Draw a line and an arrow to the left. > x Reason Abstractly Write an inequality and solve the problem. Four more than a number is more than 13. Inequality: Solution: Let n represent the number. Write and solve the inequality. The solution is n > 9. n + 4 > 13; n > 9 esolutions Manual - Powered by Cognero Page 9
10 The sum of a number and 19 is at least 8.2. Inequality: Solution: Let n represent the number. Write and solve the inequality. The solution is n n ; n 10.8 Write an inequality and solve the problem. Eight less than a number is less than 10. Inequality: Solution: Let n represent the number. Write and solve the inequality. The solution is n < 18. n 8 < 10; n < 18 The difference between a number and is no more than. Let n represent the number. Write and solve the inequality.. esolutions Manual - Powered by Cognero Page 10
11 Reason Abstractly Write an inequality and solve the problem. Interpret the solution. The high school soccer team can have no more than 26 players. Write and solve an inequality to determine how many more players can make the team if the coach has already chosen 17 players. Inequality: Solution: Interpretation: Let p represent the number of additional players that can make the team. Write and solve the inequality. The solution is p 9. No more than 9 more players can make the team. p ; p 9; Nine additional players or fewer can make the team. There were a total of 125 cars at a car dealership. A salesperson sold 68 of the cars in one month. Write and solve an inequality that describes how many more cars, at most, the salesman has left to sell. Interpret the solution. Inequality: Solution: Interpretation: Let c represent the number of cars that the salesman has left to sell. The solution is c 57. The salesman has at most 57 cars left to sell c 125; c 57; The salesman has 57 cars or less left to sell. esolutions Manual - Powered by Cognero Page 11
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