TEST BANK FOR CALCULUS 8TH EDITION BY VARBERG

TEST BANK FOR CALCULUS 8TH EDITION BY VARBERG
1 Preliminaries


1, The sum of a rational number and an irrational number must be _
Answer:
irrational
Difficulty: 2

2. Give an example of irrational numbers whose product is irrational and an exampl
whose
product is rational
Answer: Varies. For the first question, '2 and /3 work, and for the second questio
2 aad VS ork.
Difficulty: 2 Section: 1

3; an'z
3. F. ind a ration
number
between
Answer: Varies. The averase is Z.
Difficulty: 1 Section 2

4. Change the repeating decimal 1.163636363... to a ratio of two integers.
64
Answer: z
Difficulty: 2 Section: 2

959 -53
5. Find the best decimal approximation t _[7gj5 'Oat your calculator allows.

Answer: Depends on calculator.

About -0.0154299. Difficulty: 2

Section 2

6. Find the solution set for the inequality 2zr I1 <4 - I.
Answer: (-5,0c).

, Difficulty: 1 Section: 3

7. Find the solution set for the inequality 5r II < 15z - 22.

« ()
Difficulty: 1 Section: 3




8. Find the solution set for the inequality 3r - 10 >5 +2.
Answer: (-oc. -6)
Difficulty: 1 Section: 3
9. Find the solution set for the inequality z -- 9z
+ 20 > 0. Answer: (-0c, 4)u(5,00).
Difficulty: 2 Section: 3
10. Find the solution set for the
inequality (r -1) > 16. Answer: (-o0, -
3]u[5,o0).
Difficulty: 2Section: 3
11. Find the solution set for the inequality r +r -2 < 0
Answer: (-2,1).
Difficulty: 2Section: 3.
12. Find the solution set for the inequality r --r --8 < 4.
Answer: (-3,4).
Difficulty: 2Section: 3

13. Find the soluton set for the inequality (r -5)(r-2) -2.
Answer: (--x,3]u[4,c).
Difficulty: 2Section: 3

14. Find the solution set for the inequalitt'g2
-4
Answer: (-oc,4)u[9,oo).
Difficulty: 2Section: 3

, 15. Find the solution set for the inequity =T, <0.
Answer: (-1.6). I-

Difficulty: 2 Section. 3

16. Find the solution set for
I+5 go.
the inequality Answer: (-
5,4].
Difficulty:2 Section: 3




842 Chapter 1 Exam Questions Instructor's
Resource Manual
17. Find the solution set for the inequality t}5 0.
4r 3
A»er. «-s.-De(7.e)
Difficulty: 2 Section: 3

18. Find the solution set for the inequai ? z1
r-2
Answer: [0,2).
Difficulty: 2 Section: 3

19. Fad de sotut,on set tor ue inequaiey z-who.
+I
are(-3).
Difficulty: 2 Section: 3

20. Find the solution set for the inequality [3r + 1/< 7.
a[-{a]
Difficulty: 2 Section: 4

21. Find the solution set for the inequality [Or + 17] < 45.
(-3)
Difficulty: 2 Section: 4

22. Find the solution set for the inequality [r + 16] < 8.

, Are (-s-5;)
Difficulty: 2 Section: 4

23. Find the solution set for the inequality [Sr + 17] < 7.
a(--)
Difficulty: 2 Section: 4

24.Describe the interval [--5,5] by means of an inequality involving absolute values
Answer: [r] < 5.
Difficulty: 1 Section: 4

25. Describe the interval (0,6) by means of an inequality involving absolute values.
Answer: [r - 3] < 3.
Difficulty: 1 Section: 4


26. Describe the interval (-2,4) by means of an inequality involving absolute values.

Answer: [z - 1] <3.
Difficulty: 1 Section: 4


27. Find the distance between the points (-I,I) and (2, -1).
Answer: /13.
Difficulty: 1 Section: 5


28.Find the distance between the points (-4,6) and (-3,-1).

Answer: 5/2.
Difficulty: 1 Section: 5


29. Find the distance between the points (--5, -1) and (3,1).
844 Chapter 1 Exam Questions Instructor's Resource Manual