1. Obvious, x must be negative.
2. 2x+5y-20=0; 2x+5y=20 | :5;
2/5x+y=4; y=4-2/5x
When we supstitude y in -2x>3y we get -2x>3(4-2/5x); -2x>12-6/5x; -2x+6/5x>12; -0,8x>12 so x must be negative
hence, D
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If -2x>3y, is x negative?
Source: Beat The GMAT — Data Sufficiency |
If -2x>3y, is x negative?
Stem translation: if x < (-3/2)y, is x <0??
(1) y>0 => x is negative....
(2) 2x+5y-20=0
2x + 5y = 20
x < -1.5 y.
put x = -2y => y = 20; x<-30=> x is negative...
you can try for different values...
D
Stem translation: if x < (-3/2)y, is x <0??
(1) y>0 => x is negative....
(2) 2x+5y-20=0
2x + 5y = 20
x < -1.5 y.
put x = -2y => y = 20; x<-30=> x is negative...
you can try for different values...
D
Another way(without picking numbers)t
Question stem
-2x>3y => 0>3y+2x (i.e 3y+2x is negative)
Stmt I
y>0
Then x has to be negative so that the inequality -2x>3y holds
SUFF
Stmt II
2x+5y-20=0
2x+5y = 20
2x+3y+2y=20
Since we know 2x+3y<0 therefore 2y has to be positive since the result is 20 (positive)
So we again know y>0 therefore x<0 again
SUFF
Hope I dint mess up with stmt II anlaysis
D)
Question stem
-2x>3y => 0>3y+2x (i.e 3y+2x is negative)
Stmt I
y>0
Then x has to be negative so that the inequality -2x>3y holds
SUFF
Stmt II
2x+5y-20=0
2x+5y = 20
2x+3y+2y=20
Since we know 2x+3y<0 therefore 2y has to be positive since the result is 20 (positive)
So we again know y>0 therefore x<0 again
SUFF
Hope I dint mess up with stmt II anlaysis
D)
here's a more ground-level solution for statement (2).
notice that there's a '2x' in the inequality given in the question prompt, and another '2x' in statement 2. this is a fine opportunity for substitution.
so, SOLVE both things for the '2x':
divide the inequality by -1 --> 2x < -3y
isolate the '2x' in statement (2) --> 2x = -5y + 20
substitute --> -5y + 20 < -3y
solve --> 20 < 2y
10 < y
y > 10
which means
-2x > 3y > 30
-2x > 30
x < -15
sufficient
--
you can theoretically use plug-in-numbers on this problem, but it's much more trouble than is worthwhile.
notice that there's a '2x' in the inequality given in the question prompt, and another '2x' in statement 2. this is a fine opportunity for substitution.
so, SOLVE both things for the '2x':
divide the inequality by -1 --> 2x < -3y
isolate the '2x' in statement (2) --> 2x = -5y + 20
substitute --> -5y + 20 < -3y
solve --> 20 < 2y
10 < y
y > 10
which means
-2x > 3y > 30
-2x > 30
x < -15
sufficient
--
you can theoretically use plug-in-numbers on this problem, but it's much more trouble than is worthwhile.
Ron has been teaching various standardized tests for 20 years.
--
Pueden hacerle preguntas a Ron en castellano
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On peut poser des questions à Ron en français
Voit esittää kysymyksiä Ron:lle myös suomeksi
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Quand on se sent bien dans un vêtement, tout peut arriver. Un bon vêtement, c'est un passeport pour le bonheur.
Yves Saint-Laurent
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Learn more about ron
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Pueden hacerle preguntas a Ron en castellano
Potete chiedere domande a Ron in italiano
On peut poser des questions à Ron en français
Voit esittää kysymyksiä Ron:lle myös suomeksi
--
Quand on se sent bien dans un vêtement, tout peut arriver. Un bon vêtement, c'est un passeport pour le bonheur.
Yves Saint-Laurent
--
Learn more about ron
Ron, thanx.
I dont like to plug numbers. This is second-best approach for me.
I dont like to plug numbers. This is second-best approach for me.
As you said and shown, once we simply the inequality we can plug-in-numbers comfortably.you can theoretically use plug-in-numbers on this problem, but it's much more trouble than is worthwhile.
Thanks for this valuable explanation.
Regards,
Farooq Farooqui.
London. UK
It is your Attitude, not your Aptitude, that determines your Altitude.
Farooq Farooqui.
London. UK
It is your Attitude, not your Aptitude, that determines your Altitude.
