Point (P, Q) is in the coordinate plane. Is P > Q?
(1) P is positive.
(2) Point (P, Q) above on the line y = x + 1.
OA B
Source: Magoosh
Point (P, Q) is in the coordinate plane. Is P > Q? (1) P
This topic has expert replies
-
- Moderator
- Posts: 7187
- Joined: Thu Sep 07, 2017 4:43 pm
- Followed by:23 members
Timer
00:00
Your Answer
A
B
C
D
E
Global Stats
GMAT/MBA Expert
- Jay@ManhattanReview
- GMAT Instructor
- Posts: 3008
- Joined: Mon Aug 22, 2016 6:19 am
- Location: Grand Central / New York
- Thanked: 470 times
- Followed by:34 members
Timer
00:00
Your Answer
A
B
C
D
E
Global Stats
We have to determine whether s P > Q.BTGmoderatorDC wrote:Point (P, Q) is in the coordinate plane. Is P > Q?
(1) P is positive.
(2) Point (P, Q) above on the line y = x + 1.
OA B
Source: Magoosh
Let's take each statement one by one.
(1) P is positive.
Certainly many possibilities. For example (2, 2), (2, 3) and (3, 2). No unique answer. insufficient.
(2) Point (P, Q) is above the line y = x + 1.
The line y = x + 1 passes through I, II and III quadrants and the area above the line y = x + 1 would be represented by the inequality y > x + 1. To be sure that it is not y < x + 1, you may plug-in the coordinates of origin (0, 0) in y < x + 1; we see that 0 < 0 + 1 => 0 < 1 is true, it means that y < x + 1 represents the area below the line y = x + 1 since the origin is below the line; thus, the area above the line y = x + 1 is given by y > x + 1.
Since y > x + 1, we have y - x > 1 => y > x. It means that any point above the line y = x + 1 would have its y-coordinate greater than the x-coordinate. Or Q > P. The answer is NO -- a unique answer. Sufficient.
The correct answer: B
Hope this helps!
-Jay
_________________
Manhattan Review GMAT Prep
Locations: New York | Paris | Shanghai | Munich | and many more...
Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.