What is the source? Findings from the two statements would never contradict on real GMAT.[email protected] wrote:Hi all,
Is 2<x<4?
1) x"2-5x+6<0
2)5x"2-25x>0
The answer is D which means both are sufficient...I don't understand why 2 is enough.
Thank you.
liferocks wrote:Here we are looking for a yes/no for question Is 2<x<4
From 1
(x-2)(x-3)<0
so 2<x<3...
hence ans for Is 2<x<4--yes
From 2
5x(x-5)>0
or x(x-5)>0
so x and x-5 should have same sign .Hence the values of x which will satisfy this are x<0 and x>5
so x cannot have a value between 2 and 4
hence ans for Is 2<x<4--no
since we can definitely give an answer for 'Is 2<x<4? ' from both statements independently
Ans is option D
these two inferences are in correct.[email protected] wrote: statement 1: x^2-5x+6 < 0 => (x-3)(x-2) < 0 => x<3 or x<2 ... this is insuffient, isn't it?
statement 2: 5X^2-25X > 0 => 5x(x-5) > 0 => x>0 or x>5 ... this is insufficient!
(x-3)(x-2) < 0===> if x-3<0 then x-2>0 or if x-2<0 then x-3>0 an invalid condition===> 2<x<3 the only condition will satisfy the inequality[email protected] wrote:liferocks wrote:Here we are looking for a yes/no for question Is 2<x<4
From 1
(x-2)(x-3)<0
so 2<x<3...
hence ans for Is 2<x<4--yes
From 2
5x(x-5)>0
or x(x-5)>0
so x and x-5 should have same sign .Hence the values of x which will satisfy this are x<0 and x>5
so x cannot have a value between 2 and 4
hence ans for Is 2<x<4--no
since we can definitely give an answer for 'Is 2<x<4? ' from both statements independently
Ans is option D
i do not get your answer, correct me if i am wrong please but:
statement 1: x^2-5x+6 < 0 => (x-3)(x-2) < 0 => x<3 or x<2 ... this is insuffient, isn't it?
statement 2: 5X^2-25X > 0 => 5x(x-5) > 0 => x>0 or x>5 ... this is insufficient!
from the statements above it's hard to tell if x is between 2 and 4 (i.e. 2<x<4).
i think the asnwer is (E)
thephoenix wrote:(x-3)(x-2) < 0===> if x-3<0 then x-2>0 or if x-2<0 then x-3>0 an invalid condition===> 2<x<3 the only condition will satisfy the inequality[email protected] wrote:liferocks wrote:Here we are looking for a yes/no for question Is 2<x<4
From 1
(x-2)(x-3)<0
so 2<x<3...
hence ans for Is 2<x<4--yes
From 2
5x(x-5)>0
or x(x-5)>0
so x and x-5 should have same sign .Hence the values of x which will satisfy this are x<0 and x>5
so x cannot have a value between 2 and 4
hence ans for Is 2<x<4--no
since we can definitely give an answer for 'Is 2<x<4? ' from both statements independently
Ans is option D
i do not get your answer, correct me if i am wrong please but:
statement 1: x^2-5x+6 < 0 => (x-3)(x-2) < 0 => x<3 or x<2 ... this is insuffient, isn't it?
statement 2: 5X^2-25X > 0 => 5x(x-5) > 0 => x>0 or x>5 ... this is insufficient!
from the statements above it's hard to tell if x is between 2 and 4 (i.e. 2<x<4).
i think the asnwer is (E)
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