SOLUTION: Solve this equation: |x+1| + |1-x| = 2 Thanks.

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Question 930503: Solve this equation:
|x+1| + |1-x| = 2
Thanks.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39623)   (Show Source): You can put this solution on YOUR website!
Analyze the equation logically. The absolute value inputs can be greater-than-or-equal to zero, or less than zero.


If both nonzero, then
; and you can find what must be x for both inputs to be nonzero.


&



Meaning:



IF both are negative, then
FALSE statement. Obviously both expressions in the absolute value inputs must not be simultaneously negative.

If x+1>=0 and 1-x<0, then

, which is only a piece of the solution found in .

If x+1<0 and 1-x>=0, then

, again this one is consistent with the first found inequality solution but is only one piece of it.

FINAL FINISHED ANSWER RESULT:
Answer by MathTherapy(10555)   (Show Source): You can put this solution on YOUR website!
Solve this equation:
|x+1| + |1-x| = 2
Thanks.


You can do the check!! 

===================

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