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Linear Inequalities and Systems of Linear Inequalities in Two Variables 3
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Result
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Solve each problem. Choose your answer(s). Note that certain items may have more than one answer.

1. The difference between two numbers is no more than 10. Which of the following are possible values of the numbers?
10 and 20
−5 and 5
−10 and 5
−20 and −5
5 and 10
none of the choices
Answer: 10 and 20; 5 and 10; −5 and 5
2. The sum of two nonnegative numbers is at least 12. Which of the following are possible values of the numbers?
14 and −2
2 and 8
7 and 5
−4 and 16
5 and 15
none of the choices
Answer: 5 and 15; 7 and 5
3. The sum of two numbers is greater than 20. The first number is no more than 15 while the second is greater than or equal to 15. Which of the following are possible values of the numbers?
15 and 17
10 and 10
15 and 5
−5 and 25
−10 and 45
none of the choices
Answer: 15 and 17; −10 and 45
4. Mrs. Ramsey will be preparing food for her son's birthday party. She has a maximum budget of ₱3000 for beef and chicken. The number of kilograms of chicken should be at least 3 times the number of kilograms of beef. Beef costs ₱230 per kilogram while chicken costs ₱125 per kilogram. Which of the following are possible values of the number of kilograms of beef and of chicken?
10 kg of beef and
20 kg of chicken
10 kg of beef and
30 kg of chicken
15 kg of beef and
0 kg of chicken
4 kg of beef and
15 kg of chicken
0 kg of beef and
15 kg of chicken
none of the choices
Answer: 4 kg of beef and 15 kg of chicken; 0 kg of beef and 15 kg of chicken
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