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

Algebra.Com
Question 130973: How do I solve for the absolute value inequality:
x > 6

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Does your problem look like this: ???





Start with the given inequality


Break up the absolute value (remember, if you have , then or )

or Break up the absolute value inequality using the given rule




So our solution is simply


or


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

RELATED QUESTIONS

How do I solve: The absolute value of n-6 = the absolute value of... (answered by bucky)
y=[x]+7 How do I solve the absolute... (answered by stanbon)
Solve for absolute value inequality and then graph the solution set.I am having... (answered by stanbon)
I am totally lost, I'm suppose to solve the inequality and then graph absolute value... (answered by longjonsilver)
Solve the following absolute value inequality: I am not quit sure how to do this problem... (answered by Edwin McCravy)
how do i solve the following inequality? the absolute value of 7-3y divided by 2 < 1... (answered by lwsshak3)
How do you solve this absolute value of inequality equation:... (answered by lwsshak3)
How do I graph a absolute value inequality with the variable coming after a number like... (answered by Alan3354)
solve for x: -4|x+9|=-32 ( | | means absolute value) solve the inequality: |3x+3| >... (answered by lwsshak3)