SOLUTION: What are the solutions of the inequality 11 < |x - 2| + 4? Graph your solutions on a number line. Show your work. Note: the less than in the problem should be the less than or

Algebra ->  Systems-of-equations -> SOLUTION: What are the solutions of the inequality 11 < |x - 2| + 4? Graph your solutions on a number line. Show your work. Note: the less than in the problem should be the less than or       Log On


   

Question 834640: What are the solutions of the inequality 11 < |x - 2| + 4? Graph your solutions on a number line. Show your work. Note: the less than in the problem should be the less than or equal to. I didn't know how to type this on my ipad.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
11-4<=|x-2|
|x-2|>=7

Either x-2%3E=7
x%3E=7%2B2
x%3E=9
-
OR -x%2B2%3E=7
-x%3E=7-2
-x%3E=5
WATCH CAREFULLY....
-x%28-1%29%3C=5%28-1%29
x%3C=-5
-

Summary of Solution:
Either x%3C=-5 OR x%3E=9



The asterisk is, "point filled in":
<=====================(*)----------|--------------------(*)===============>
--------------------------(-5)----------0--------------------9--------------