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Which of the following points are located in the shaded region of the
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08 Dec 2022, 12:15
08 Dec 2022, 12:15
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Question Stats:
66% (02:46) correct
33% (00:35) wrong based on 6 sessions
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GRE Which of the following points are located.jpg [ 14.17 KiB | Viewed 1487 times ]
Which of the following points are located in the shaded region of the graph above?
Indicate all such points.
(6, 1)
(−4, 0.5)
(−4, −0.5)
(−4, −4)
(−6, 1)
(−6, −1)
(−6, −2)
Re: Which of the following points are located in the shaded region of the
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11 Dec 2022, 04:00
11 Dec 2022, 04:00
Expert Reply
OE
First, find the equation of the line that defines the shaded region, expressed as y = mx + b, Using the origin and the one given point in the diagram, the slope m equals 1/4, and the y-intercept b is 0. So y = 1/4 x is the boundary line. Looking at the figure, if either x or y are positive, then the point isn’t in the shaded region; you can eliminate choices (A), (B), and (E). For the other choices, plug in the x-values. If the resulting y-value is less than the y-value in the choice, that point lies below the line and outside the shaded region. So you’re looking for points for which y ≥ 1/4 x. when y ≤ 0 and x ≤ 0. This is true for correct choices (C) and (F).
First, find the equation of the line that defines the shaded region, expressed as y = mx + b, Using the origin and the one given point in the diagram, the slope m equals 1/4, and the y-intercept b is 0. So y = 1/4 x is the boundary line. Looking at the figure, if either x or y are positive, then the point isn’t in the shaded region; you can eliminate choices (A), (B), and (E). For the other choices, plug in the x-values. If the resulting y-value is less than the y-value in the choice, that point lies below the line and outside the shaded region. So you’re looking for points for which y ≥ 1/4 x. when y ≤ 0 and x ≤ 0. This is true for correct choices (C) and (F).
gmatclubot
Re: Which of the following points are located in the shaded region of the [#permalink]
11 Dec 2022, 04:00
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