N.Find the set of values of x for which: w - x-2 x+1 12. Solve the inequality:(x-3)(x+2)(x+4) > C 13 Solve the inequality:x(x2 - 6) > x.
N.Find the set of values of x for which: w - x-2 x+1 12. Solve the inequality:(x-3)(x+2)(x+4) > C 13 Solve the inequality:x(x2 - 6) > x.
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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Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
Question
Solve Q11, 12 & 13 showing clearly all steps

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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