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For all real numbers x, the operation Δ is defined as xΔ = . If (bΔ)Δ

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For all real numbers x, the operation Δ is defined as xΔ = . If (bΔ)Δ  [#permalink]

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New post 10 Jun 2016, 03:28
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For all real numbers x, the operation Δ is defined as xΔ =x+\(\frac{x}{4}\) . If (bΔ)Δ =\(\frac{25}{8}\) , what is the value of b ?

(A) 1.5

(B) 2

(C) 2.5

(D) 3

(E)3.5

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Re: For all real numbers x, the operation Δ is defined as xΔ = . If (bΔ)Δ  [#permalink]

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New post 10 Jun 2016, 03:41
AbdurRakib wrote:
For all real numbers x, the operation Δ is defined as xΔ =x+\(\frac{x}{4}\) . If (bΔ)Δ =\(\frac{25}{8}\) , what is the value of b ?

(A) 1.5

(B) 2

(C) 2.5

(D) 3

(E)3.5



xΔ =x+\(\frac{x}{4} = \frac{5x}{4}\)...
so \((bΔ)Δ = \frac{5}{4}*\frac{5b}{4}\)=\(\frac{25}{8}\).................\(\frac{25b}{16}= \frac{25}{8}\)........b=2
B
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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


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Re: For all real numbers x, the operation Δ is defined as xΔ = . If (bΔ)Δ  [#permalink]

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New post 29 Sep 2018, 04:21
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I somehow still struggle with this question a bit and had really on partly guessing to get it right.
Could someone provide a little more detailed approach to solving this question?

Thanks in advance!
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Re: For all real numbers x, the operation Δ is defined as xΔ = . If (bΔ)Δ  [#permalink]

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New post 25 Nov 2018, 03:49
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Hope this helps.
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Re: For all real numbers x, the operation Δ is defined as xΔ = . If (bΔ)Δ &nbs [#permalink] 25 Nov 2018, 03:49
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