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Which of the following inequalities below describes the line

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guerrero25
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Which of the following inequalities below describes the line [#permalink] New post   Updated on: 13 Apr 2013, 15:10
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Which of the following inequalities below describes the line graph below?

(A) |x − 1.5| ≤ 5.5
(B) |x + 5.5| ≥ 1.5
(C) |x + 1.5| ≤ 5.5
(D) |x − 5.5| ≤ 1.5
(E) |x − 1.5| ≥ 5.5
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A

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Originally posted by guerrero25 on 13 Apr 2013, 13:30.
Last edited by Bunuel on 13 Apr 2013, 15:10, edited 1 time in total.
Edited the question.
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Re: Which of the following inequalities below describes the line [#permalink] New post   13 Apr 2013, 13:45
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guerrero25 wrote:
(A)|x − 1.5| ≤ 5.5
(B)|x + 5.5| ≥ 1.5
(C)|x + 1.5| ≤ 5.5
(D)|x − 5.5| ≤ 1.5
(E)|x − 1.5| ≥ 5.5


\(-4\leq{x}\leq{7}\) from the image.
From A we know that the distance between x and 1,5 is 5,5( in both ways) so x ranges from 7 and -4.
Correct A
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Re: Which of the following inequalities below describes the line [#permalink] New post   13 Apr 2013, 21:12
Zarrolou wrote:
guerrero25 wrote:
(A)|x − 1.5| ≤ 5.5
(B)|x + 5.5| ≥ 1.5
(C)|x + 1.5| ≤ 5.5
(D)|x − 5.5| ≤ 1.5
(E)|x − 1.5| ≥ 5.5


\(-4\leq{x}\leq{7}\) from the image.
From A we know that the distance between x and 1,5 is 5,5( in both ways) so x ranges from 7 and -4.
Correct A


i could not be able to understand. Can you/someone explain more. :?
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Re: Which of the following inequalities below describes the line [#permalink] New post   13 Apr 2013, 23:48
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navigator123 wrote:
Zarrolou wrote:
guerrero25 wrote:
(A)|x − 1.5| ≤ 5.5
(B)|x + 5.5| ≥ 1.5
(C)|x + 1.5| ≤ 5.5
(D)|x − 5.5| ≤ 1.5
(E)|x − 1.5| ≥ 5.5


\(-4\leq{x}\leq{7}\) from the image.
From A we know that the distance between x and 1,5 is 5,5( in both ways) so x ranges from 7 and -4.
Correct A


i could not be able to understand. Can you/someone explain more. :?



Go thru the attachment. Hope your doubt will clear.

Regards,

Narenn
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GC Inequations.docx [26.96 KiB]
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Re: Which of the following inequalities below describes the line [#permalink] New post   19 Jun 2017, 15:39
navigator123 wrote:
Zarrolou wrote:
guerrero25 wrote:
(A)|x − 1.5| ≤ 5.5
(B)|x + 5.5| ≥ 1.5
(C)|x + 1.5| ≤ 5.5
(D)|x − 5.5| ≤ 1.5
(E)|x − 1.5| ≥ 5.5


\(-4\leq{x}\leq{7}\) from the image.
From A we know that the distance between x and 1,5 is 5,5( in both ways) so x ranges from 7 and -4.
Correct A


i could not be able to understand. Can you/someone explain more. :?


Try solving the mod equation if you are confused.

As per the image we can see that −4≤x≤7


(A) |x − 1.5| ≤ 5.5 ===> -5.5 ≤ x - 15 ≤ 5.5 ==> -4 ≤ x ≤ 7 - This is exactly matching to the above equation.
(B) |x + 5.5| ≥ 1.5
(C) |x + 1.5| ≤ 5.5
(D) |x − 5.5| ≤ 1.5
(E) |x − 1.5| ≥ 5.5

Though you can still do a quick check on rest of the answer choices. Hope this helps.

Hence, Answer is A
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Which of the following inequalities below describes the line [#permalink] New post   19 Jun 2017, 16:29
Expert Reply
guerrero25 wrote:
Which of the following inequalities below describes the line graph below?

(A) |x − 1.5| ≤ 5.5
(B) |x + 5.5| ≥ 1.5
(C) |x + 1.5| ≤ 5.5
(D) |x − 5.5| ≤ 1.5
(E) |x − 1.5| ≥ 5.5

I got the answer right, but I had a hard time telling from the diagram whether the lower and upper limits were -4.5 and 7.5 (which it still looks like to me), or -4 and 7.
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Which of the following inequalities below describes the line [#permalink] New post   07 Oct 2020, 22:22
whenever you get a number line problem, try to use |x-a| = b

where a is the mid-point in this case ({-4 + 7}/2 =3/2) = 1.5 and b is the distance from either corner 1.5 - (-4) = 5.5.

Next part is with the inequality sign, if the inequality falls within a range in this case it falls under {-4, 7}, so the inequality is always -4 <= x <= 7
Suppose say the range was beyond -4 and beyond 7 then the inequality would be x < -4 and x > 7
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gmatclubot
Which of the following inequalities below describes the line [#permalink]
07 Oct 2020, 22:22
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