Question 389781
You are correct. 



Here's why:



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



So {{{abs(r)=-3}}} is NOT possible and therefore, there are no solutions.



So the solution set is the empty set *[Tex \LARGE \empty]