Find the set of values of x for which <2. Ix--4!

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter10: Inequalities
Section10.6: Absolute Value Of Product In Open Sentences
Problem 20WE
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Solve Q1, 2 & 3 showing clearly all steps

X-1
Y Find the set of values of x for which < 2.
/ Show that. for all real values of x, x- 3x + 3 > 0. Hence find the set of real values of x fo
which:
X-2
ズ-3
4
3. Find the set of values of x for which
-> x + 1.
C-2
2
Find the set of values of x for which: x-/x/ -- 6<0
2
(a) solve the inequality
(b) Find the set of values of x for which the sum to
X-2
X+6
k
X-2
infinity of the series -0
2x+8
converges. Find also the value of x for which the sum t
10
infinity is-
11
6. Find the set of real values of x for which:
(x-4)
(x++)
4.
4 Find the set of values of x for which (x - 3)
2(x+3)
X
x+13
8. Find the range of values of x for which
< x+ 3
X+1
Transcribed Image Text:X-1 Y Find the set of values of x for which < 2. / Show that. for all real values of x, x- 3x + 3 > 0. Hence find the set of real values of x fo which: X-2 ズ-3 4 3. Find the set of values of x for which -> x + 1. C-2 2 Find the set of values of x for which: x-/x/ -- 6<0 2 (a) solve the inequality (b) Find the set of values of x for which the sum to X-2 X+6 k X-2 infinity of the series -0 2x+8 converges. Find also the value of x for which the sum t 10 infinity is- 11 6. Find the set of real values of x for which: (x-4) (x++) 4. 4 Find the set of values of x for which (x - 3) 2(x+3) X x+13 8. Find the range of values of x for which < x+ 3 X+1
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