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|x+3| - |4-x| = |8+x|. How many solutions does the equation

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Joined: 16 Jan 2018
Posts: 13
GMAT 1: 620 Q49 V25
Re: |x+3| - |4-x| = |8+x|. How many solutions does the equation  [#permalink]

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New post 22 Jul 2019, 11:32
#SHORTCUT

Place -8, 4, -3 on a number line .


Keep x anywhere doesn't matter .

|X-A|=D means
distance between x and A which is D units.

Using this you will realise the questions says this

|x+3|=|x+8| +|x-4|

distance of x from 8 + distance of x from 4 = distance of x from 3

try putting x= 2 mid point for 4 and see if this equation makes sense .

It will not .
GMAT Club Bot
Re: |x+3| - |4-x| = |8+x|. How many solutions does the equation   [#permalink] 22 Jul 2019, 11:32

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