Graph the solution set of |2x-1|>5

Question

How do I do this. Completely forgot  

Answer 1

Remember that the absolute value operation turns negative values into positive ones.  So if the argument within the absolute value is more than five or less than -5, the absolute value will be greater than 5.  So solve 2x-1>5 and 2x-1<-5:

 

2x-1>5

2x>6

x>3

 

2x-1<-5

2x<-4

x<-2

 

<======o----------o=======>

                -2             3