hich of the following best define(s) the triangle inequality? a +b|<|a[+[b| А. П only B. I and II only C. I only II. | a + b|<| a|+|6| III. |a +b|2|a|+[b| D. II and II only E. None of the above choices A, B,C or D t A be a bounded subset of R and let sup A = 3. Which of the following is/are t an attribute of 3? Ve>0, 3 rE AƏ B-e 0. A. {r €R:1> 3} B. {r €R:1< -1} C. {r €R:1<-1 and r> 3}. D. {r €R : -1

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Chapter2: Second-order Linear Odes
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6. Which of the following best define(s) the triangle inequality?
I. | a + b|<| a |+ ||
А. II only
B. I and II only
C. I only
II. |a +b|<| a|+|6|
III. | a +b|2|a|+[6|
D. II and III only
E. None of the above choices A, B,C or D
7. Let A be a bounded subset of R and let sup A = 3. Which of the following is/are
not an attribute of 8?
I. V e > 0, 3 r E A Ə B- e< 1 < 3
II. B<x V rE A.
III. If a e A, Ə r < a V r€ A then 3 < a.
A. I and II only
B. II and III only
С. 1, П and III
D. II only
E. None of the above choices A, B,C or D
8. Let R be the set of all real numbers. Find the value(s) of r € R for
which a – 2x - 3 > 0.
A. {r €R : r > 3}
B. {r € R : r < -1}
C. {r €R :r < -1 and r> 3}.
D. {r €R : -1 <I< 3}
E. None of the above.
9. Let a, b eR such that a < b. Which of these intervals is/are bounded?
I. (a, b)
A. I and II only
В. I only
C. I and III only
II. {r €R : r > a}
III. (-x,6)
D. II and III only
E. None of the above choices A, B,C or D
Transcribed Image Text:6. Which of the following best define(s) the triangle inequality? I. | a + b|<| a |+ || А. II only B. I and II only C. I only II. |a +b|<| a|+|6| III. | a +b|2|a|+[6| D. II and III only E. None of the above choices A, B,C or D 7. Let A be a bounded subset of R and let sup A = 3. Which of the following is/are not an attribute of 8? I. V e > 0, 3 r E A Ə B- e< 1 < 3 II. B<x V rE A. III. If a e A, Ə r < a V r€ A then 3 < a. A. I and II only B. II and III only С. 1, П and III D. II only E. None of the above choices A, B,C or D 8. Let R be the set of all real numbers. Find the value(s) of r € R for which a – 2x - 3 > 0. A. {r €R : r > 3} B. {r € R : r < -1} C. {r €R :r < -1 and r> 3}. D. {r €R : -1 <I< 3} E. None of the above. 9. Let a, b eR such that a < b. Which of these intervals is/are bounded? I. (a, b) A. I and II only В. I only C. I and III only II. {r €R : r > a} III. (-x,6) D. II and III only E. None of the above choices A, B,C or D
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