SOLUTION: Three times the absolute value of two "x" plus 4 is less than or equal to six. What does "x" equal.

Algebra ->  Expressions-with-variables -> SOLUTION: Three times the absolute value of two "x" plus 4 is less than or equal to six. What does "x" equal.      Log On


   

Question 167248: Three times the absolute value of two "x" plus 4 is less than or equal to six. What does "x" equal.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
3%2Aabs%28x%29%2B4%3C=6
3%2Aabs%28x%29%3C=2
abs%28x%29%3C=2%2F3
Absolute value function problems are really two problems in one: positive solution, negative solution.
.
.
.
Positive solution:
x%3C=2%2F3
.
.
.
Negative solution:
-x%3C=2%2F3
x%3E=-2%2F3
.
.
.
Putting those together, you get,
-2%2F3%3C=x%3C=2%2F3