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08 Sep 2016, 07:09
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D
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Difficulty:
35%
(medium)
Question Stats:
67% (01:24) correct
33%
(01:36)
wrong
based on 290
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What inequality includes all values of x where y < 0 for the line above?
A. x < -4
B. x < -2
C. x < 0
D. x < 2
E. x < 4
Attachment:
2023-01-04_18-19-05.png [ 12.66 KiB | Viewed 2008 times ]
Updated on: 17 Jul 2021, 09:36
Originally posted by BrushMyQuant on 08 Sep 2016, 07:26.
Last edited by BrushMyQuant on 17 Jul 2021, 09:36, edited 2 times in total.
Last edited by BrushMyQuant on 17 Jul 2021, 09:36, edited 2 times in total.
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Let's learn about the Quadrants
x>0 means all points to the right of Y-axis
x<0 means all points to the left of Y-axis
y>0 means all points to the top of X-axis
y<0 means all points to the bottom of X-axis
As they have given y<0 so we have to consider all points on the line which are below the x-axis
So the values of x on the line which are below the x axis will start from x=2 (point (2,0)) and will go on decreasing and will go till negative infinity
so, solution is x<2
Option D
Hope it helps!
x>0 means all points to the right of Y-axis
x<0 means all points to the left of Y-axis
y>0 means all points to the top of X-axis
y<0 means all points to the bottom of X-axis
Attachment:
File comment: Image1: Quadrants
image3.jpg [ 45.98 KiB | Viewed 6063 times ]
image3.jpg [ 45.98 KiB | Viewed 6063 times ]
As they have given y<0 so we have to consider all points on the line which are below the x-axis
Attachment:
File comment: Image2: Solution
image4.jpg [ 51.98 KiB | Viewed 6054 times ]
image4.jpg [ 51.98 KiB | Viewed 6054 times ]
So the values of x on the line which are below the x axis will start from x=2 (point (2,0)) and will go on decreasing and will go till negative infinity
so, solution is x<2
Option D
Hope it helps!
16 Jun 2017, 01:24
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PawanRamnani1234
What this question is basically saying with relation to the diagram is that any x value that is less than 2 must have a y value that is less than 0 because at (2,0) is the x intercept- in other words this is the cutoff point for y values that are positive. Notice the red dots on the attached diagram. Answer choice "A", for example, is incorrect because there actually are x values that are positive and have negative y values- again, notice the red dots.
Attachments
image1 (2).JPG [ 1.54 MiB | Viewed 5612 times ]
