REASON QUANTITATIVELY Solve each inequality. 1. 6x + 15 > 27             2. -3y - 5 ≥ 10 3. -7z - 1 < -8

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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REASON QUANTITATIVELY Solve each inequality.

1. 6x + 15 > 27            

2. -3y - 5 ≥ 10

3. -7z - 1 < -8

4. - 1/3 m + 1 < 5

5. -6x + 5 ≥ 3x - 13

6. -3y + 15 ≥ -6y

7. 1/2 x - 2 ≤ x + 1

8. -2z + 2 > -z + 1/2

9. REASON QUANTITATIVELY

Cheyenne pays $8 to rent a wetsuit each time she goes
surfing. She can buy the same wetsuit for $120. Write and solve an inequality that
can be solved to determine when the renting the wetsuit is more expensive than
buying a new suit. Interpret your solution.


10. Kevin’s scores on his first four vocabulary quizzes are 84, 93, 80, and 92. The highest
possible score on any quiz is 100. His teacher offered to reward any student with an
average score of 90 or higher after five quizzes with a free lunch.


a. USE A MODEL Write and solve an inequality to determine the score Kevin needs
on his fifth quiz in order to qualify for the reward.


b. EVALUATE REASONABLENESS Will Kevin qualify for the reward? Explain.


c. REASON QUANTITATIVELY Kevin’s teacher decides to extend the reward offer
to the first six quizzes. Write and solve an inequality to determine the total
combined score Kevin needs on the fifth and sixth quizzes to qualify for the
reward. Is it possible for Kevin to qualify for the reward? 

 

 

 

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