Question 442129: how would you solve |x+5| > 3 ?
I can't remember how to do disjunctions and my book isn't helping me. Found 2 solutions by scott8148, woolybear:Answer by scott8148(6628) (Show Source):
You can put this solution on YOUR website! |x+5|>3
Remove the absolute value term. This creates a \ on the right-hand side of the equation because |x|=\x.
x+5>\(3)
Set up the + portion of the \ solution.
x+5>3
Move all terms not containing x to the right-hand side of the inequality.
x>-2
Set up the - portion of the \ solution. When solving the - portion of an inequality, flip the direction of the inequality sign.
x+5<-(3)
Multiply -1 by the 3 inside the parentheses.
x+5<-3
Since 5 does not contain the variable to solve for, move it to the right-hand side of the inequality by subtracting 5 from both sides.
x<-5-3
Subtract 3 from -5 to get -8.
x<-8
The solution to the inequality includes both the positive and negative versions of the absolute value.
x>-2 or x<-8
