Question 180807
{{{abs(2x-6)+2>=2}}} Start with the given inequality



{{{abs(2x-6)>=0}}} Subtract 2 from both sides.



Now because the absolute value of any number (except 0) is ALWAYS positive. Also, the absolute value of 0 is 0. 


So this means that {{{abs(2x-6)}}} will ALWAYS be greater than or equal to zero for any "x" value


So {{{abs(2x-6)>=0}}} is true for all real numbers. 



So the answer is all real numbers.



So the answer in interval notation is *[Tex \LARGE \left(-\infty,\infty\right)]



Also, the answer in set-builder notation is  *[Tex \LARGE \left\{x\|x\in\mathbb{R}\right\}] (this reads: x is in the set of all real numbers)