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![[Post New]](/templates/default/images/icon_minipost_new.gif) 29 Jul 2007 13:21:37 IST
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20 + 10 +1 > 0 (x-3)(x-4) (x-4)
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29 Jul 2007 13:38:57 IST
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20+10x-30+x^2-7x+12/(x-3)(x-4)>0
therefore
(x+1)(x+2)/(x-3)(x-4)>0....
therefore
(x+1)(x+2)>0.....for x not equal to 3 and not equal to 4....
x (- ,-2) U (-1,3) U (3,4) U (4,)
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29 Jul 2007 13:42:44 IST
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no close intervals ?
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29 Jul 2007 13:50:38 IST
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hey.....see
20/(x-3)(x-4) + 10/(x-4) +1 >0
=> 20+ 10x -30 + x^2 - 7x +12 /(x-3)(x-4) >0
=> x^2 +3x+2/(x-3)(x-4) >0
=> (x+2)(x+1)/(x-4)(x-3) >0
now plotting the roots on the number line nd using wavy- curvy method
we get........
x belongs to (- infinity, -2) U (-1,3) U (4, infinity)
hope this is correct..........
if nt do correct me....
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there is no right way 2 do something wrong !!!!!!!! |
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29 Jul 2007 13:52:53 IST
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sorry......i forgot 2 give the closed ones
the correct ans will b
x belongs to (- infinity, -2] U [-1,3) U (4, infinity)
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there is no right way 2 do something wrong !!!!!!!! |
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29 Jul 2007 14:01:14 IST
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hey shine i tooo thing so that ur answer is right my answer is also coming same but a bit confused on the closed intervals
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20+10x-30+x^2-7x+12/(x-3)(x-4)>0
therefore
(x+1)(x+2) / (x-3)(x-4) > 0....
(x+1)(x+2)>0.....for x not equal to 3 and 4....
apply wave curve and u get
x E (-inf,-2) U (-1,+inf) ~ {3,4}
closed brackets r not there as equation has no equal to sign.
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---------------------------------------------------------------
* Gaurav Ragtah ( aka Artemis Fowl )
* Agent 'G' [sniper] - SD-6 (Alliance of Twelve)
* Your friendly neighborhood spideyunlimited |
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2 Aug 2007 21:23:16 IST
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yup...no closed intervals!
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2 Aug 2007 21:48:07 IST
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The first answer fiven by "shine" is correct (the one without the closed brackets), it is the same as the one given by "spideyunlimited".
Good work.
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2 Aug 2007 23:21:22 IST
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i think the answer shud b (-inf, -1] U [-2,3] U [4,inf.)
wtsay?
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3 Aug 2007 14:34:29 IST
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no aspringiitan uve given the wrong interval... how can it be - inf to - 1 and then -2 to 3 ... the 2 intervals will overlap.. plus uve got the critical points wrong... u went wrong sumwhere in calculations
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---------------------------------------------------------------
* Gaurav Ragtah ( aka Artemis Fowl )
* Agent 'G' [sniper] - SD-6 (Alliance of Twelve)
* Your friendly neighborhood spideyunlimited |
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5 Aug 2007 22:00:07 IST
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WELL THANK U GUYS I GOT THE POINT , WHY I GOT THE WRONG ANSWER. ESPESIALLY THANKING ---- SPIDEYUNLIMITED
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