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ds-OG algebra

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VP
Joined: 17 Jun 2008
Posts: 1328

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18 Oct 2008, 21:56
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is $$1/p > r/r^2+2$$ ?

1)p=r
2)r>0

I have a doubt on 2nd condition !! i could find out the answer using just first condition ,can siome one help in solving this !!Is second condition necessary !!!if yes how?

This is a OG quetsion
_________________

cheers
Its Now Or Never

VP
Joined: 30 Jun 2008
Posts: 1019

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18 Oct 2008, 22:00
spriya wrote:
is $$1/p > r/r^2+2$$ ?

1)p=r
2)r>0

I have a doubt on 2nd condition !! i could find out the answer using just first condition ,can siome one help in solving this !!Is second condition necessary !!!if yes how?

This is a OG quetsion

How did you solve the first equation without knowing if r is +ve or -ve ??
_________________

"You have to find it. No one else can find it for you." - Bjorn Borg

VP
Joined: 17 Jun 2008
Posts: 1328

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18 Oct 2008, 22:20
amitdgr wrote:
spriya wrote:
is $$1/p > r/r^2+2$$ ?

1)p=r
2)r>0

I have a doubt on 2nd condition !! i could find out the answer using just first condition ,can siome one help in solving this !!Is second condition necessary !!!if yes how?

This is a OG quetsion

How did you solve the first equation without knowing if r is +ve or -ve ??

From the first equation :
$$1/p > r/r^2+2 => 1> p*r/r^2+2$$

since from 1 ,we know p=r p*r will be positive r^2 irrespective of sign of r and hence in the above equation LHS <1

Correct me if im wrong !!Am i missing somethin
whats ur opion on this !!!kindly share the approach !!
_________________

cheers
Its Now Or Never

VP
Joined: 30 Jun 2008
Posts: 1019

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18 Oct 2008, 23:18
1
KUDOS
spriya wrote:
amitdgr wrote:
spriya wrote:
is $$1/p > r/r^2+2$$ ?

1)p=r
2)r>0

I have a doubt on 2nd condition !! i could find out the answer using just first condition ,can siome one help in solving this !!Is second condition necessary !!!if yes how?

This is a OG quetsion

How did you solve the first equation without knowing if r is +ve or -ve ??

From the first equation :
$$1/p > r/r^2+2 => 1> p*r/r^2+2$$

since from 1 ,we know p=r p*r will be positive r^2 irrespective of sign of r and hence in the above equation LHS <1

Correct me if im wrong !!Am i missing somethin
whats ur opion on this !!!kindly share the approach !!

You are not supposed to cross-multiply variables in inequalities unless you know the sign of the variable.

if p>0 then $$1/p > r/r^2+2 => 1> p*r/r^2+2$$
if p<0 then $$1/p > r/r^2+2 => 1< p*r/r^2+2$$
_________________

"You have to find it. No one else can find it for you." - Bjorn Borg

VP
Joined: 17 Jun 2008
Posts: 1328

Show Tags

18 Oct 2008, 23:24
spriya wrote:
amitdgr wrote:
spriya wrote:
is $$1/p > r/r^2+2$$ ?

1)p=r
2)r>0

I have a doubt on 2nd condition !! i could find out the answer using just first condition ,can siome one help in solving this !!Is second condition necessary !!!if yes how?

This is a OG quetsion

How did you solve the first equation without knowing if r is +ve or -ve ??

From the first equation :
$$1/p > r/r^2+2 => 1> p*r/r^2+2$$

since from 1 ,we know p=r p*r will be positive r^2 irrespective of sign of r and hence in the above equation LHS <1

Correct me if im wrong !!Am i missing somethin
whats ur opion on this !!!kindly share the approach !!

You are not supposed to cross-multiply variables in inequalities unless you know the sign of the variable.

if p>0 then $$1/p > r/r^2+2 => 1> p*r/r^2+2$$
if p<0 then $$1/p > r/r^2+2 => 1< p*r/r^2+2$$

Oh yes thats y i was consistentlky doing mistakes !!!
this is one important concept !!
Thanks +1 for u
_________________

cheers
Its Now Or Never

Re: ds-OG algebra   [#permalink] 18 Oct 2008, 23:24
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ds-OG algebra

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