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Points inside triangular region M bounded by Xaxis & y=6-|x|
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Updated on: 11 Nov 2023, 23:32

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Question Stats:

In the xy plane, triangular region M is bounded by the x axis and y = 6 - |x|. Which of the following points lie inside region R?

A. (0,7)

B. (0,4)

C. (2,3)

D. (3,4)

E. (4,-4)

F. (-2,-3)

G. (-3,1)

A. (0,7)

B. (0,4)

C. (2,3)

D. (3,4)

E. (4,-4)

F. (-2,-3)

G. (-3,1)

Re: Points inside triangular region M bounded by Xaxis & y=6-|x|
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20 Sep 2019, 01:37

1

Expert Reply

This is a bad copy of the official one located here https://gre.myprepclub.com/forum/in-the-xy ... -2183.html

Regards

Regards

Re: Points inside triangular region M bounded by Xaxis & y=6-|x|
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20 Sep 2019, 02:15

This problem needs to deal with 2 inequalities right? Is there a shorter way to solve this problem?

Re: Points inside triangular region M bounded by Xaxis & y=6-|x|
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20 Sep 2019, 02:32

Expert Reply

No shortcuts. Pick numbers for x and see the boundaries.

Similar to this

https://gre.myprepclub.com/forum/in-the-xy ... tml#p30106

Or this explanation https://gre.myprepclub.com/forum/in-the-xy ... tml#p30856

Similar to this

https://gre.myprepclub.com/forum/in-the-xy ... tml#p30106

Or this explanation https://gre.myprepclub.com/forum/in-the-xy ... tml#p30856

Re: Points inside triangular region M bounded by Xaxis & y=6-|x|
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11 Nov 2023, 12:06

1

Consider drawing this. You will have a triangular region bounded between -6 and 6, and above the X axis.

Since y must be positive, you can eliminate immediately choices E and F are gone and since the bounds are between -6 and 6, choice A is gone as well.

Choice B is certainly possible, since this would just be on the x axis

Choice C is possible, since for x=2, y=4, so (2,3) is inside the triangle

Choice D is not possible, since for x=3, y=3, so 3,4 would be just above the triangle

Choice G is possible, since for x=-3 the bound is y=3, and -3,1 is above the x-axis and under the triangle.

Answer should be B,C and G - Carcass I am not seeing answer choices here so I am not sure.

Since y must be positive, you can eliminate immediately choices E and F are gone and since the bounds are between -6 and 6, choice A is gone as well.

Choice B is certainly possible, since this would just be on the x axis

Choice C is possible, since for x=2, y=4, so (2,3) is inside the triangle

Choice D is not possible, since for x=3, y=3, so 3,4 would be just above the triangle

Choice G is possible, since for x=-3 the bound is y=3, and -3,1 is above the x-axis and under the triangle.

Answer should be B,C and G - Carcass I am not seeing answer choices here so I am not sure.

Re: Points inside triangular region M bounded by Xaxis & y=6-|x|
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11 Nov 2023, 23:32

Expert Reply

I believe is correct what you say sir

the x axis is not mentioned and could be also positive BUT the y axis must be positive and for being so our x in y-6|x| must be between 0<x<6 included

y=6-0=6 upper value

and

y=6-6=0 lowest value

So we have to include only the answer choices that has those values for y and the x both positive and negative

Therefore your answers are correct

the x axis is not mentioned and could be also positive BUT the y axis must be positive and for being so our x in y-6|x| must be between 0<x<6 included

y=6-0=6 upper value

and

y=6-6=0 lowest value

So we have to include only the answer choices that has those values for y and the x both positive and negative

Therefore your answers are correct

Re: Points inside triangular region M bounded by Xaxis & y=6-|x|
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11 Nov 2023, 23:36

Expert Reply

Here a grate explanation for a similar question

https://gre.myprepclub.com/forum/in-the ... tml#p30856

https://gre.myprepclub.com/forum/in-the ... tml#p30856

Re: Points inside triangular region M bounded by Xaxis & y=6-|x|
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12 Nov 2023, 01:52

1

Carcass wrote:

Here a grate explanation for a similar question

https://gre.myprepclub.com/forum/in-the ... tml#p30856

https://gre.myprepclub.com/forum/in-the ... tml#p30856

Made the graph in Desmos, as it easily shows what I described:

Re: Points inside triangular region M bounded by Xaxis & y=6-|x|
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12 Nov 2023, 02:24

Expert Reply

gmatclubot

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