Question 312490
First, I would recognize that since this is an ABSOLUTE VALUE problem that ais GREATER THAN a positive number, this is an EXTREMES problem.  It has two categories of solutions:


First solutions:
2x-3 > 5
2x >8
x>4


Second solutions:
2x-3 < -5
2x <-2
x<-1


In interval notation, this would be (-inf, -1) U (4, inf).


Dr. Robert J. Rapalje, Retired