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# Which of the following inequalities specifies the shaded reg

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Joined: 13 Apr 2013
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13 Mar 2018, 06:31
kaushiksamrat wrote:
Hi Bunnel.. my doubt is that looking at the picture -1 and 4 are included with bold line so can't the range be -1<=x <=4

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Hi kaushiksamrat,

First of, it is important to note that we don't have any answer choice with =< sign, so we need to choose from the options available in front. Second thing, when end-points are included in any range for that matter they are marked as BIG DOT or DOUBLE CIRCLE, a sign that can be clearly seen by the test taker. Other than that consider the ranges excluding the end-points because GMAC will always be clear with diagrams.

Hope it will help.

QZ
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21 Mar 2018, 07:47
aeglorre wrote:
Bunuel wrote:
Not sure I understand what you mean. The shaded region gives $$-1<x<4$$ and option B also gives $$-1<x<4$$. Thus B is correct. No other option gives this range, no matter whether you include endpoints on the diagram in the inequality or not.

What Im trying to say is that I interpret the shaded region as saying $$-1<=x<=4$$, since both -1 and 4 are "covered" by the shaded area (at least it seems so to me). Thus, x could be -1 or it could be 4. But $$-1<x<4$$ means that x cannot be either -1 or 4, and this is what confuses me. Either I am misinterpreting the shaded area, or I lack a fundamental understanding of inequalities.

Even I am having the same issue... I interpreted the inequality to be $$-1<=x<=4$$ and discarded all the options... Can someone please tell me why are we considering $$-1<x<4$$ and not $$-1<=x<=4$$
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21 Mar 2018, 08:56
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chandu2016 wrote:
aeglorre wrote:
Bunuel wrote:
Not sure I understand what you mean. The shaded region gives $$-1<x<4$$ and option B also gives $$-1<x<4$$. Thus B is correct. No other option gives this range, no matter whether you include endpoints on the diagram in the inequality or not.

What Im trying to say is that I interpret the shaded region as saying $$-1<=x<=4$$, since both -1 and 4 are "covered" by the shaded area (at least it seems so to me). Thus, x could be -1 or it could be 4. But $$-1<x<4$$ means that x cannot be either -1 or 4, and this is what confuses me. Either I am misinterpreting the shaded area, or I lack a fundamental understanding of inequalities.

Even I am having the same issue... I interpreted the inequality to be $$-1<=x<=4$$ and discarded all the options... Can someone please tell me why are we considering $$-1<x<4$$ and not $$-1<=x<=4$$

You can read the above thread for clarity. Also, it is not correct to discard all the answer choices as at least one answer choice has to be the answer. Extreme points are clearly marked, if they are inclusive in range.
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04 Apr 2019, 06:55
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Re: Which of the following inequalities specifies the shaded reg   [#permalink] 04 Apr 2019, 06:55

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