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x and y are consecutive positive integers and x>y x^2

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Senior Manager
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x and y are consecutive positive integers and x>y x^2 [#permalink] New post 24 Nov 2006, 22:28
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x and y are consecutive positive integers and x>y

x^2 - 1> y^2 -4y +x -1

Which of the ff represents all the possible values of y?

y>=0
y>0
y>1
y>7
y>8
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 [#permalink] New post 25 Nov 2006, 01:18
hi warren,

can you explain how you got y>0? this is my computation

x(x-1)>y(y-4)
(y+1)(y+1-1)>y(y-4)
y+1>y-4

then i'm left with 1>4

??? Is a better way just testing the answer choices?
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 [#permalink] New post 25 Nov 2006, 02:06
Hermione wrote:
hi warren,

can you explain how you got y>0? this is my computation

x(x-1)>y(y-4)

(y+1)(y+1-1)>y(y-4)
y+1>y-4


then i'm left with 1>4

??? Is a better way just testing the answer choices?



See the highlighted red part. It is wrong. you can't just eliminate y at both sides, because it is an inequality.

y(y+1) > y( y - 4)
y(y+1) - y(y-4) > 0
y(y+1-y+4) > 0

so y > 0.
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 [#permalink] New post 25 Nov 2006, 05:03
Could you Please suggest me a good site to brush up my Basics on
Equations & Inequations....
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 [#permalink] New post 25 Nov 2006, 05:52
Thanks vmuch! I keep forgetting that about inequalities :)
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 [#permalink] New post 25 Nov 2006, 05:53
navin_aspirant, just check the stickies for inequality rules :)
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  [#permalink] 25 Nov 2006, 05:53
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x and y are consecutive positive integers and x>y x^2

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