Range of numbers

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Joined: 2008-06-07
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a,b,c,d are real numbers such that:
2 < a < 3 ;
0 < b < 1;
-1 < c < 0 ;
-4 < d < -3 ;
Qu. Find the range of:
1) ab
2) ac
3) a/b
4) a/d
5) b-c
6) b^d
7) |d|-|c|
8) a|d|
9) ab/c
10) cd(|b-a|)
11) a^2-c^2
12. | a-b/c-d|

humraj's picture
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HUMRAJ!!!!!!!!!

1) 0<ab<3
2) -3<ac<0
3) 2<a/b
4) -2/3<a/d<-3/4
5) 0<b-c<2
6) -1<b^d<1
7) 2<|d|-|c|<4
8) 6<a|d|<12
9) -3<ab/c
10) 0<cd(|b-a|)<12
11) 3<a^2-c^2<9
12. 1/4<| a-b/c-d|<3/2

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plz elobrate...

what method u used!, kindly describe..

Joined: 2008-06-07
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plz elobrate...

what method u used!, kindly describe..

aahistha's picture
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humraj ur 2 ans are wrong..

Sugandha Chatterjee

3).   2 < a/b < 3.
4).   -12 < a/d < -6.

chk ma answers n reply if u feel...

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aahistha's picture
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keys..

Sugandha Chatterjee

for multiplication type of ques.. multiply upper limit to upper limit n lower limit to lower limit..

for division type ques.. multiply upper to lower and upper to lower limit...

hope it helped.. reply if u feel..

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CHECK..

according 2 u ..
2) -2 < ac < 0
3) 2 < a/b
6) how..

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HOW.

-1 < b^d > 1

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(1) 0 < ab < 3(2) -3 < ac <

(1) 0 < ab < 3
(2) -3 < ac < 0
(5) 0 < b - c < 2

aahistha's picture
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Sugandha Chatterjee sorry ma

Sugandha Chatterjee

sorry ma mistake i suud have been clearer..
d case goes opposite for -ve nos..

nw hope this helped..!!

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aahistha's picture
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Sugandha Chatterjee sorry ma

Sugandha Chatterjee

sorry ma mistake i suud have been clearer..
d case goes opposite for -ve nos..

nw hope this helped..!!

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