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PS - absolute value / number line

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by Xbond » Mon Nov 09, 2009 10:18 pm
Hi there,

I know some of you already see this PS. I succeed to eliminate A and B but after I'm lost. Could you help me to understand and select the right answer.


Which inequality below most accurately represents the range of possible values for x ?

A. The absolute value of x is less than or equal to 4.
B. The absolute value of x is less than or equal to 5.
C. The absolute value of (x + 2) is less than or equal to 2.
D. The absolute value of (x - 1) is less than or equal to 3.
E. The absolute value of (x + 1) is less than or equal to 3.
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by Xbond » Tue Nov 10, 2009 4:34 am
sorry, I forgot to put the graph
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by Xbond » Tue Nov 10, 2009 4:40 am
you have to download this doc with "word"
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by xcusemeplz2009 » Tue Nov 10, 2009 5:33 am
imo d

mod ( x-1)<=3

oe +-(x-1)<=3
taking +ve x-1<=3 i.e x<=4

and taking -ve value -x+1<=3 ie -x<=2 or x>=-2

finally
-2=<x=<4
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by grockit_jake » Tue Nov 10, 2009 9:27 am
Did it come from this article?

https://www.beatthegmat.com/a/2009/11/02/inequalities

There is a detailed explanation here.
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by heshamelaziry » Tue Nov 10, 2009 8:23 pm
grockit_jake wrote:Did it come from this article?

https://www.beatthegmat.com/a/2009/11/02/inequalities

There is a detailed explanation here.

Is this question relevant to questions exactly similar to it ONLY, with number line shown, or we can draw a line to help us solve many of those crazy inequalities and absolute values ? Please, provide example.
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