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In the rectangular co-ordinate system, which quadrants contain at leas
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01 Sep 2023, 06:07
01 Sep 2023, 06:07
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Question Stats:
85% (01:52) correct
14% (01:55) wrong based on 7 sessions
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In the rectangular co-ordinate system, which quadrants contain at least one point (x, y) that satisfies the inequality:
\(2y>\frac{x}{5}\)
Indicate all that apply
A. I
B. II
C. III
D. IV
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\(2y>\frac{x}{5}\)
Indicate all that apply
A. I
B. II
C. III
D. IV
Post A Detailed Correct Solution For The Above Questions And Get Kudos.
Question From Our Project: Free GRE Prep Club Tests in Exchange for 20 Kudos
\(\Longrightarrow\) GRE - Quant Daily Topic-wise Challenge
\(\Longrightarrow\) GRE Math Essentials - A most comprehensive handout!!
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\(\Longrightarrow\) Best GRE Test Books of 2023
Re: In the rectangular co-ordinate system, which quadrants contain at leas
[#permalink]
18 Sep 2023, 03:44
18 Sep 2023, 03:44
Expert Reply
OE
We need to identify region covered by given inequality,
To find out, on which side of the line does region lie, Let us plot the line first.
To plot the line, let us convert given inequality into equality.
2𝑦 =𝑥/5
Gives us, 𝑦 =𝑥/10 + 0
Slope of the line is positive (line would be inclining line) and 𝑦 −intercept is zero (It would pass through origin)
To check, on which side of line does region lie, let’s put coordinates of point (0,1) in
the inequality,
2(1) > 0/5
2 > 0, So coordinates of point (0,1) satisfies inequality.
So, the region lies on the side on which point (0,1) lies.
Which clearly means, not a single point from quadrant IV is getting covered in the
region.
So, points from quadrants I , II , and III are getting covered.
Ans. (A, B and C)
We need to identify region covered by given inequality,
To find out, on which side of the line does region lie, Let us plot the line first.
To plot the line, let us convert given inequality into equality.
2𝑦 =𝑥/5
Gives us, 𝑦 =𝑥/10 + 0
Slope of the line is positive (line would be inclining line) and 𝑦 −intercept is zero (It would pass through origin)
To check, on which side of line does region lie, let’s put coordinates of point (0,1) in
the inequality,
2(1) > 0/5
2 > 0, So coordinates of point (0,1) satisfies inequality.
So, the region lies on the side on which point (0,1) lies.
Which clearly means, not a single point from quadrant IV is getting covered in the
region.
So, points from quadrants I , II , and III are getting covered.
Ans. (A, B and C)
gmatclubot
Re: In the rectangular co-ordinate system, which quadrants contain at leas [#permalink]
18 Sep 2023, 03:44
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