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Solve |x| + 3 - |x + 3| = 6.

 Dec 7, 2019
 #1
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+1

x=-3 

 

First 

I x + 3 I = +ve value but notice there is a negative on the left of it - I x + 3 I so it will be negative. 

So we could write it by isolating the second absolute value

IxI + 3 -x-3=6

Now add 3 to both sides

IxI+3-x=9 

Subtract 3 

IxI-x=6

Therefore x=-3 

IxI=6+x 

Isolate it

-x=-6+x (1)

 

x=6-x (2) 

(1) solve it, -2x=-6

x=-3 (Check and it works!) 

(2) solve it, 2x=6

x=3 (Check and it doesn't work I.e extranous solution) 

Check:

3+3-6=6

0=6? wrong! 

 Dec 7, 2019
 #2
avatar+58 
0

Hint: There is a negative value and a positive one.

 Dec 7, 2019

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