SOLUTION: how to solve this problem: -5|3+4k|=115

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Question 732934: how to solve this problem:
-5|3+4k|=115

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


I already told you. There is no solution to this problem. There is no real number that you can substitute for to make this a true statement.

By definition, the absolute value must be greater than or equal to zero. But in order for -5 to be multiplied by something and achieve a positive result, that something must also be less than zero. But cannot simultaneously be greater than or equal to zero (by definition of absolute value) and less than zero (the product of two negatives is positive).

The solution set is the empty set.

John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
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