Inequality at its best !

[SAM]

If -2x > 3y, is x negative ?

1)y > 0

2)2x + 5y - 20 = 0

Answer is D. Can anybody please explain how the 2nd option holds true ?

[Guest]

(2) is essentially saying thesame as statement (1). Here is the solution

2x+5y-20=0

2x=-5y+20

Since we need to solve -2x>3y

We convert 2x to -2x

-2x = 5y - 20

Then substitute

5y-20 > 3y

-20 > -2y

Multiply both sides by negative sign changes the direction of inequality

10 < Y

Therefore Y must be > 0, Same as Statement (1)

Now the challenge is doing all this with in 2 minutes !!!!

[Guest]

If -2x > 3y, is x negative ?

1)y > 0

2)2x + 5y - 20 = 0

Answer is D. Can anybody please explain how the 2nd option holds true ?

B) can be simplified to:

2x+5y=20

=> 2x+3y= 20-2y

=> since 2x+3y < 0 from question stem, 20-2y<0
=> 20< 2y or 2y> 20

or y>10. Hence similar situation as A.

[RonPurewal]

http://www.manhattangmat.com/forums/if- ... t3233.html
please stop double-posting.
thank you.