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4 lines in 2 minutes is hard. But the alternative to plug in numbers is tougher. Drawing with same color marker on a laminated sheet is crazy! I am not sure GMAC wants us to draw graphs.

Of course, the following is not applicable everywhere, but use graphs as last resort.

Another way to use is try to use plain algebra. If a>b, and b >c, a>c.

1) If (x/y) > 2, is 3x+2y<18 x>2y ========> 3x > 6y 8y < 18? y < 9/4?

4 lines in 2 minutes is hard. But the alternative to plug in numbers is tougher. Drawing with same color marker on a laminated sheet is crazy! I am not sure GMAC wants us to draw graphs.

Of course, the following is not applicable everywhere, but use graphs as last resort.

Another way to use is try to use plain algebra. If a>b, and b >c, a>c.

1) If (x/y) > 2, is 3x+2y<18 x>2y ========> 3x > 6y 8y < 18? y < 9/4?

(i) x -y <2 y < 2 SUFF.

(ii) y-x < 2 -y < 2 y > -2 INSUFF.

A. No graphs

Hi ConkergMat,

you can not do x/y > 2 --> x > 2y for inequalities (can't cross multiply with variables whose sign you don't know)

krishan - I believe I have seen this question solved non graphically on this board somewhere.. search for it.