Source: Official Guide for the GMAT 13th Ed. Data Sufficiency; #129 Official Guide for the GMAT 2015 14th Ed. Data Sufficiency; #129

1

In the xy-plane, region R consists of

In the xy-plane, region R consists of all the points (x,y) such that 2x+3y 6. Is the point (r,s) in region R?

2 Explanations

1

Shray Taneja

Solved it by quickly plotting the graph on x y plane.

Nov 20, 2015 • Comment

Sam Kinsman, Magoosh Tutor

Yes, that works as well - nice job! :)

Nov 20, 2015 • Reply

Vivian M Graves

How would plotting the graph on the x y plane work?

Feb 16, 2016 • Reply

Sam Kinsman, Magoosh Tutor

To plot this equation on the x-y plane, we first need to solve for y. We have 2x+3y?6, and we subtract 2x on both sides. We get 3y?6-2x. We then divide both sides by 3, to get y ? 2-(2x/3). Now, we can treat the ? as an = sign, and graph the equation y = 2 - (2x/3). We know that y has to be smaller (or equal to) 2-(2x/3), so y can be any point that's underneath the line.

Feb 16, 2016 • Reply

1

Gravatar Mike McGarry, Magoosh Tutor

Jan 4, 2014 • Comment

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Section 6.3 Data Sufficiency

Section 6.3 Data Sufficiency

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