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If x can be any of the 5 points A, B, C, D and E on a number line, the

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If x can be any of the 5 points A, B, C, D and E on a number line, the [#permalink] New post   16 Mar 2023, 02:19
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If x can be any of the 5 points A, B, C, D and E on a number line, then for which of the following points is \(| x + 2 |\) minimum?

E
D
C
B
A


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Re: If x can be any of the 5 points A, B, C, D and E on a number line, the [#permalink] New post   16 Mar 2023, 08:38
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If x can be any of the 5 points A, B, C, D and E on a number line, then for which of the following points is \(| x + 2 |\) minimum?

E
D
C
B
A



Can someone explain this please?
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Re: If x can be any of the 5 points A, B, C, D and E on a number line, the [#permalink] New post   16 Mar 2023, 12:07
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Using the concept: |๐‘ฅ โˆ’ ๐‘Ž| => distance of ๐‘ฅ from ๐‘Ž.|๐‘ฅ + 2| => |๐‘ฅ โˆ’ (โˆ’2)| => This expression implies distance of ๐‘ฅ from (-2). We need to find, at which value of ๐‘ฅ (from A to E) is |๐‘ฅ + 2| minimum, i.e., distance of ๐‘ฅ from -2 is minimum.

Among the options (from A to E) B is closest to -2.

Hence, point B is the answer.
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Re: If x can be any of the 5 points A, B, C, D and E on a number line, the [#permalink] New post   27 Jul 2024, 05:40
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: If x can be any of the 5 points A, B, C, D and E on a number line, the [#permalink]
27 Jul 2024, 05:40
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