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What is the value of $x$ if $|x-1|=|x+2|$?

 Feb 21, 2021
 #1
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-1

Case 1: x >= 1

x - 1 = x + 2

 

(no solutions)

 

Case 2: -2 <= x <= 1

1 - x = x + 2

-1 = 2x

 

x = -1/2 (valid)

 

Case 3: x < -2

1 -x = 2 - x

 

(no solutions)

 

Therefore, x = -1/2

 Feb 21, 2021

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