Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Please help me 31,37
Transcribed Image Text:In Problems 19-54, solve each inequality algebraically.
x - 1
19. (x – 4) (x + 6) < 0
20. (x – 5) (x + 2)² > 0
23. 2x3 > -8x?
21. x³ – 4x² > 0
22. r + &r? < 0
25. (x + 2) (x – 4) (x – 6) < 0
28. x³ + 2r? – 3x > 0
24. 3x3 < -15x²
26. (x + 1) (x + 2) (x + 3) < 0
27. x - 4x2 – 12x > 0
29. x* > x2
30. x < 9x²
31. x* > 1
32. x³ > 1
33. 3(x- 2) <2(x– 1)2+x²
x + 1
35.
> 0
x - 1
34. (x – 3) (x + 2) < x² + 3x + 5
nonaupo silt
x - 3
36.
- > 0
(x- 2) (x + 2)
37.
x + 1
<0ul
ot 38.
(x – 3) (x + 2)
(x - 3)2
39.
x² – 4
x - 1
(x + 5)2
40.
? - 4
x + 4
< 1
x - 2
x + 2
42.
x – 4
But
not
3x - 5
< 2
43.
x + 2
X – 4
44.
2x + 4
x + 1
poly45.
x - 3
anisiaw
r - 1
46.
r + 2
> -2
2
rileupsni leb 47.
x – 2
3
3x – 9
48.
>
3
x + 1
(3 + x) (x + 4)
49.
(x + 5) (x – 1)
x(x2 + 1) (x- 2)
50.
(- 1) (x + 1)
(3 – x)³(2x + 1)
< 0
51.
x' - 1
(2- x) (3x – 2)
52.
< 0
33. 6r- 5 < -
54. x +
12
< 7
x' + 1
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