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GMAT Data Sufficiency (DS) | Re: In the xy-plane, region A consists of all the points (x,y)

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josemnz83 wrote:

In the xy-plane, region A consists of all the points (x,y) such that 1 - x < 2y. Is the point (a,b) in region A?

(1) a > 2b
(2) b = 1

I am having a hard time conceptualizing how to solve this problem. I read the explanation in Total GMAT Math (which is where problem came from) and understand how to do the algebra. However I do NOT understand how the inequality translates as a graphical representation on the coordinate plane.

Full marks to zarrolou, however here is an alternate approach
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