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# Quiz: Inequalities

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