SOLUTION: How do I solve for the absolute value inequality: x > 6

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: How do I solve for the absolute value inequality: x > 6      Log On


   

Question 130973: How do I solve for the absolute value inequality:
x > 6
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Does your problem look like this: abs%28x%29%3E6 ???





abs%28x%29%3E6 Start with the given inequality


Break up the absolute value (remember, if you have abs%28x%29%3E+a, then x+%3C+-a or x+%3E+a)

x+%3C+-6 or x+%3E+6 Break up the absolute value inequality using the given rule




So our solution is simply


x+%3C+-6 or x+%3E+6


which looks like this in interval notation





if you wanted to graph the solution set, you would get

Graph of the solution set in blue and the excluded values represented by open circles