SOLUTION: I don't get how an absolute value is no solution. I watched and did many no solution problems and i still didn't get it. Please help explain to me. It would help me a lot. Thank yo

Question 1144986: I don't get how an absolute value is no solution. I watched and did many no solution problems and i still didn't get it. Please help explain to me. It would help me a lot. Thank you

Answer by ikleyn(52802) (Show Source): You can put this solution on YOUR website!
.


Let assume you are given this problem:


    prove that equation  | x | = -5  has no solution.



It is very simple to prove.


Since the absolute value  | x | is always NON-NEGATIVE, | x | can not be negative.

Hence, the given equation with the negative right side HAS NO SOLUTIONS.


PROVED.

In the same way, you can prove that these equations have no solutions :


  | x | + 5 = 3;


  | x + 1 | = -1;


  | 2x + 1 | + 2 = 1,


and many other similar equations.

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