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Quiz: Inequalities

Page history last edited by RH 11 years, 11 months ago

This quiz is designed to test your ability to handle inequalities involving real numbers and absolute values, etc.

 

In all of these questions, all variables are real numbers.

 

Discuss this quiz 

(Key: correct, incorrect, partially correct.)

 

  1. If Formula and Formula, then the best we can say about Formula is that
    1. Formula.
    2. Formula.
      • CORRECT.
    3. Formula.
    4. Formula.
    5. Formula.
    6. Formula.
    7. Formula.
  2. If Formula, and Formula, then the best we can say about Formula is that
    1. Formula.
    2. Formula.
      • CORRECT.
    3. Formula.
    4. Formula.
    5. No conclusion regarding Formula can be drawn.
    6. Formula.
    7. Formula.
  3. If Formula, and Formula, then the best that can be said about Formula is that
    1. Formula.
      • CORRECT.
    2. Formula.
    3. Formula.
    4. Formula.
    5. Formula.
    6. No conclusion about Formula can be drawn.
    7. Formula.
  4. If Formula, Formula, and Formula, the best that can be said about Formula is that
    1. Formula.
      • CORRECT.
    2. Formula.
    3. Formula.
    4. Formula.
    5. Formula.
    6. No conclusion about Formula can be drawn.
    7. Either Formula or Formula.
  5. If Formula, and Formula, the best that can be said about Formula is that
    1. Formula.
      • CORRECT.
    2. Formula.
    3. Formula.
    4. Formula.
    5. Formula.
    6. Formula.
    7. No conclusion about Formula can be drawn.
  6. If Formula, and Formula, then the best that can be said about Formula is that
    1. Either Formula or Formula.
      • CORRECT.
    2. Formula.
    3. Either Formula or Formula.
    4. No conclusion about Formula can be drawn.
    5. Formula.
    6. Formula.
    7. Formula.
  7. If Formula, and Formula, then the best that can be said about Formula is that
    1. Formula.
      • CORRECT.
    2. Formula.
    3. Formula.
    4. Formula
    5. Either Formula, or Formula.
    6. No conclusion about Formula can be drawn.
    7. Either Formula, or Formula.
  8. Suppose we know that Formula, and Formula. Which of the following statements will be enough to imply that Formula?
    1. Formula.
      • CORRECT.
    2. Either Formula or Formula.
    3. Formula.
    4. Formula.
    5. Formula.
    6. Formula.
  9. Suppose that we know that Formula. Which of the following statements is enough to imply that Formula?
    1. Formula.
    2. Formula.
    3. Formula.
      • CORRECT.
    4. Formula.
    5. Formula.
    6. Formula.
    7. None of the other statements will imply Formula.
  10. Suppose that we know that Formula. Which of the following statements is enough to imply that Formula?
    1. Formula.
    2. Formula.
    3. Formula.
    4. Formula.
    5. Formula.
    6. Formula.
    7. None of the other statements will imply Formula.
      • CORRECT.
  11. Suppose that we know that Formula and Formula. What is the best we can say about Formula?
    1. Formula.
      • CORRECT.
    2. Formula.
    3. Formula.
    4. Formula.
    5. Formula.
    6. Formula.
    7. No conclusion about Formula can be drawn.
  12. Suppose we know that Formula. What is the best we can say about Formula (the square of Formula)?
    1. Formula.
      • CORRECT.
    2. Formula.
    3. Formula.
    4. Formula.
    5. Formula.
    6. Formula.
    7. Formula.
  13. Suppose we know that Formula. What is the best we can say about Formula?
    1. Either Formula, or Formula.
      • CORRECT.
    2. Formula.
    3. Formula.
    4. Formula.
    5. Formula.
    6. Either Formula, or Formula.
    7. Either Formula, or Formula.
  14. If we know that Formula and Formula, then we can deduce that
    1. Formula.
      • CORRECT.
    2. Formula.
    3. Formula.
    4. Formula.
    5. Formula.
    6. Formula.
    7. Formula.

 

 

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