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A) Quantity A is greater. B) Quantity B is greater. C) The two quantities are equal. D) The relationship cannot be determined from the information given.

A) Quantity A is greater. B) Quantity B is greater. C) The two quantities are equal. D) The relationship cannot be determined from the information given.

a # b = –|a + b| So, (–10) # 7 = –|(-10) + 7| = -|-3| = -(3) = -3

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Re: For all integers a and b, a # b = –|a + b| [#permalink]
28 Jan 2019, 18:59

Expert's post

Zamala wrote:

I agree with Runnyboy44's doubts about the answer. How are we supposed to know that we do not have to consider the case - -(|-3|) = +3 in this case?

This doubt could be corroborated by looking at exercises where the function is defined as a # b = (+)|a + b|. Then I would seperate between case 1:

a # b = (+)|a + b|

and case 2: a # b = (-)|a + b|

.

how are we supposed to that we should limit our answer strategy to plugging in.

Hi..

we have to just read the information given in the question while we solve a question. The question gives us a function a # b = (-)|a + b|... Now you have to find (-10)#7, this means a=-10 and b=7, so substitute in the function to get (-10)#7=-|-10+7|=-3

|a|=-a when a<0.. But this is true when you do not know the value of a. Here you know what a and b stands for..

Even here a+b=-10+7=-3<0 so |a+b|=-(a+b) when (a+b)<0 thus |-10+7|=-(-10+7)=-(-3)=3.. But we are looking for -(|a+b|), which will be equal to -(3)
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