SOLUTION: 6+|r|=3 Am I correct that there is no solution set?

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Question 389781: 6+|r|=3
Am I correct that there is no solution set?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
You are correct.


Here's why:


If you subtract 6 from both sides, you get abs%28r%29=-3, but there's a problem: the absolute value of ANY number is ALWAYS nonnegative (ie not negative)


So abs%28r%29=-3 is NOT possible and therefore, there are no solutions.


So the solution set is the empty set