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If ∆ x = x for x ≥ 0 and 2x for x < 0,

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If ∆ x = x for x ≥ 0 and 2x for x < 0,  [#permalink]

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New post 17 Feb 2017, 22:20
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A
B
C
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E

Difficulty:

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Question Stats:

84% (00:55) correct 16% (01:22) wrong based on 93 sessions

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If ∆ x = x for x ≥ 0 and 2x for x < 0, \(\frac{∆30}{∆(-5)}\)

A. −12
B. −6
C. −3
D. 6
E. 30

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Re: If ∆ x = x for x ≥ 0 and 2x for x < 0,  [#permalink]

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New post 18 Feb 2017, 02:45
1
∆ x = x for x ≥ 0; Therefore, ∆30 = 30;
Again,
∆ x = 2x for x < 0; Therefore, ∆ (-5) = -10;

so, ∆30/∆ (-5) = 30/(-10) = -3;

Answer C.
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Re: If ∆ x = x for x ≥ 0 and 2x for x < 0,  [#permalink]

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New post 18 Feb 2017, 08:47
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Top Contributor
SajjadAhmad wrote:
If ∆x = x for x ≥ 0 and 2x for x < 0, \(\frac{∆30}{∆(-5)}\)

A. −12
B. −6
C. −3
D. 6
E. 30


∆x = x for x ≥ 0
In other words, IF x is greater than or equal to 0, then ∆x = x
So, for example, ∆5 = 5, and ∆11 = 11, and ∆0 = 0, since 5, 11 and 0 are all greater than or equal to 0
Likewise, ∆30 = 30

∆x = 2x for x < 0
In other words, IF x is less than 0, then ∆x = 2x
So, for example, ∆(-3) = 2(-3) = -6, and ∆(-1) = 2(-1) = -2, and ∆(-9) = 2(-9) = -18, since -3, -1 and -9 are all less than 0
Likewise, ∆(-5) = 2(-5) = -10

So....
∆30/∆(-5) = 30/(-10) = -3

Answer: C

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Brent
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Re: If ∆ x = x for x ≥ 0 and 2x for x < 0,  [#permalink]

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Re: If ∆ x = x for x ≥ 0 and 2x for x < 0,   [#permalink] 13 May 2019, 04:30
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