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The dark purple region on the number line above is shown in its entire
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19 Mar 2021, 06:58
19 Mar 2021, 06:58
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Question Stats:
45% (01:57) correct
54% (01:50) wrong based on 62 sessions
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The dark purple region on the number line above is shown in its entirety. This region is delineated by which of the following inequalities?
(A) 10 < |x + 10| < 80
(B) 10 < |x – 100| < 80
(C) |x – 20| < 70
(D) |x – 20| < | x – 90|
(E) |x – 55| < 35
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
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Re: The dark purple region on the number line above is shown in its entire
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19 Mar 2021, 08:51
19 Mar 2021, 08:51
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Carcass wrote:
The dark purple region on the number line above is shown in its entirety. This region is delineated by which of the following inequalities?
(A) 10 < |x + 10| < 80
(B) 10 < |x – 100| < 80
(C) |x – 20| < 70
(D) |x – 20| < | x – 90|
(E) |x – 55| < 35
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
One approach is to check whether possible solutions for each answer choice match up with the solution shown on the number line.
(A) 10 < |x + 10| < 80
One possible solution to this inequality is x = 5
However, the number line does NOT include x = 5 as a solution
ELIMINATE A
(B) 10 < |x – 100| < 80
One possible solution to this inequality is x = 130
However, the number line does NOT include x = 130 as a solution
ELIMINATE B
(C) |x – 20| < 70
One possible solution to this inequality is x = 0
However, the number line does NOT include x = 0 as a solution
ELIMINATE C
(D) |x – 20| < | x – 90|
One possible solution to this inequality is x = 10
However, the number line does NOT include x = 10 as a solution
ELIMINATE D
By the process of elimination, the correct answer is E
Cheers,
Brent
General Discussion
Re: The dark purple region on the number line above is shown in its entire
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24 Mar 2021, 04:06
24 Mar 2021, 04:06
Since this question requires checking all the given choices,
I personally feel the best approach would be to start from the last choice, only because a lot of examiners set the choices that way.
Starting with option E,
The mod equation can be written in two parts
x-55<35 & x-55>-35
This would give us the equation 20<x<90 which correctly represents the purple line
Hence option E is the correct one
I personally feel the best approach would be to start from the last choice, only because a lot of examiners set the choices that way.
Starting with option E,
The mod equation can be written in two parts
x-55<35 & x-55>-35
This would give us the equation 20<x<90 which correctly represents the purple line
Hence option E is the correct one
