Is x - y 10 ? (1) 5x + 2y 10 (2) 2y + x 10

Question

Is  x - y > −10  ?

(1)  5x + 2y > −10

(2)  2y + x > −10

This is a  Data Sufficiency Butler Question

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VibhuAnurag · Answer

The answer should be E.

(1) 5x + 2y > -10
This does not tell us whether x - y > -10 --> Insufficient.

(2) 2y + x > -10
Even this option does not confirm whether x - y > -10 --> Insufficient.

Combining:
Add the inequalities --> 6x + 4y > -10.
Even now we don't know whether x - y > -10. Hence, insufficient.

CEO2021 · Answer

chetan2u   Bunuel   KarishmaB

From both equation in option (1) & (II)
i am getting X>0 && Y< -5
 which satisfies condition that 
X-Y > -10

Please clear ,where i am wrong

Thanks

chetan2u · Answer

How did you get the answer.

When you add you get 6x+4y>-20 or 3x+2y>-10

Say x is 10, then 2y>-40 or y>-20.
x=10 and y =100 will give 10-100 or -90
x=10 and y=-10 will give 10-(-10) or 20
So answer will be different.

CEO2021 · Answer

chetan2u 
 but subtracting both equation we get x>0

and multiplying eq(ii) by 5 and then subtracting by eq(1) i am getting y<-5

chetan2u · Answer

No, you never subtract inequalities.

Say 1+5>-10 ……..6>-10 and 
-4+(-5)>-10 ………-9>-10
Now how do you subtract
6-(-9)>0….ok
But it can be -9-6>0 or -15>0…Not ok
You can add same sides of inequality but not subtract

CEO2021 · Answer

OHH...i am unaware of that

Thankyou very much

KarishmaB · Answer

How did you get the highlighted? Please show your work. It will help me figure out the problem.

Is x - y > 10 ? (1) 5x + 2y > 10 (2) 2y + x > 10

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