Question 777810
-4<|6x-1|+4


-4-4 < |6x-1|


-8 < |6x-1|


|6x - 1| > -8 


Since the absolute value of any number is NEVER negative, this means that |6x-1| is ALWAYS larger than any negative number you can think of.


Therefore, |6x - 1| > -8 is ALWAYS true for ANY x value


So -4<|6x-1|+4 has infinitely many solutions and that means you can plug in any value for x and it will be true.


So again, there are infinitely many solutions and you can say the solution set is the set of real numbers.