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# Set M consists of six consecutive negative integers. What is the range

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Set M consists of six consecutive negative integers. What is the range  [#permalink]

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17 Jan 2018, 00:16
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25% (medium)

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Set M consists of six consecutive negative integers. What is the range of set M?

A. -6
B. -5
C. 5
D. 6
E. Cannot be determined from the information provided

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Set M consists of six consecutive negative integers. What is the range  [#permalink]

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17 Jan 2018, 02:00
1
Bunuel wrote:
Set M consists of six consecutive negative integers. What is the range of set M?

A. -6
B. -5
C. 5
D. 6
E. Cannot be determined from the information provided

In the set that consists of 6 consecutive negative numbers,
if the smallest number is x, the largest number will be x+5

The range for any such set will be x+5 - x = 5(Option C)

P.S this is the case for all consecutive integers - negative or positive

Alternate method

Let the set be -6,-5,-4,-3,-2,-1(6 consecutive negative numbers)
The range of such of a set is largest - smallest = -1 - (-6) = -1 + 6 = 5
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Re: Set M consists of six consecutive negative integers. What is the range  [#permalink]

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17 Jan 2018, 08:00
the set consists of six consecutive numbers, it doesn't matter what the numbers are, whether they are negative or positive.
The range is fixed, Largest number - smallest number = x +5 -x =5
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Set M consists of six consecutive negative integers. What is the range  [#permalink]

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25 Sep 2018, 22:10
The range of any six consecutive integers is 5: (n + 5) – n = 5.
Even with negative integers, the largest minus the smallest value will be positive.

For example, consider: -1 - (-6) = 5.

Quote:
Take Away: Range can never be negative, and will only be zero if all terms in the set are the same.

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Re: Set M consists of six consecutive negative integers. What is the range  [#permalink]

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25 Sep 2018, 22:40
Range=highest number-lowest number
Since the numbers are consecutive negative integers the range will be 5.
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Re: Set M consists of six consecutive negative integers. What is the range  [#permalink]

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14 Oct 2019, 20:19
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Re: Set M consists of six consecutive negative integers. What is the range   [#permalink] 14 Oct 2019, 20:19
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