14 Find the range of values of x for which:(x- 3)(x + 4)(x + 6) < 0. .

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Solve Q14, 15 & 16 showing clearly all steps

* Find the set of real values of x for which a) > 3 b/2x-3/</3x+ 1
X+2
V10. Find the set of real values of x for which a)
3x+4
3x+4
< 1
b)
2x-3
2x-3
N.Find the set of values of x for which:
X-2
X+1
12. Şolve the inequality:(x-3)(x + 2)(x + 4) > 0
13 Solve the inequality:x(x2 - 6) 2 x.
14 Find the range of values of x for which:(x - 3)(x + 4)(x + 6) < 0.
15 Find the set of values of x for which:/3 - x/> 2.
(16. Find the set of real values of x for which:/3 - 2x/</x + 4/.
N.Find the set of values of x for which: /2x - 3/</2x + 1/
18. a) Find the set of values of x for which
x+6
2-3x
Show that for all real values of x, /x- 2/+ x > 0
x²-9|
V19. Find the set of values of x for which -= 9-x
X+-1
x+1
20. Find the range of values of x for which:
3.と-10
2.
X-4
21. Find the range of values of x for which: x + 5 <2x + 1
22. Find the range of values of x for which
x² -- 12
>1
13x-4!
23. Find the set of values of x for which < 1
12x-31
Transcribed Image Text:* Find the set of real values of x for which a) > 3 b/2x-3/</3x+ 1 X+2 V10. Find the set of real values of x for which a) 3x+4 3x+4 < 1 b) 2x-3 2x-3 N.Find the set of values of x for which: X-2 X+1 12. Şolve the inequality:(x-3)(x + 2)(x + 4) > 0 13 Solve the inequality:x(x2 - 6) 2 x. 14 Find the range of values of x for which:(x - 3)(x + 4)(x + 6) < 0. 15 Find the set of values of x for which:/3 - x/> 2. (16. Find the set of real values of x for which:/3 - 2x/</x + 4/. N.Find the set of values of x for which: /2x - 3/</2x + 1/ 18. a) Find the set of values of x for which x+6 2-3x Show that for all real values of x, /x- 2/+ x > 0 x²-9| V19. Find the set of values of x for which -= 9-x X+-1 x+1 20. Find the range of values of x for which: 3.と-10 2. X-4 21. Find the range of values of x for which: x + 5 <2x + 1 22. Find the range of values of x for which x² -- 12 >1 13x-4! 23. Find the set of values of x for which < 1 12x-31
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