SOLUTION: Can you please explain how to do this problem. the abosolute value of x-2 is less than or equal to 9. The answer is x is less than or equal to 11 or x is greater than or equal to -

Algebra ->  Inequalities -> SOLUTION: Can you please explain how to do this problem. the abosolute value of x-2 is less than or equal to 9. The answer is x is less than or equal to 11 or x is greater than or equal to -      Log On


   



Question 91904: Can you please explain how to do this problem. the abosolute value of x-2 is less than or equal to 9. The answer is x is less than or equal to 11 or x is greater than or equal to -7. How do you get these?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x:
Recall that if:
|a| <= b then either a <= b or a >= -b
|x-2| <= 9 Remove the absolute-value bars and write two inequalities:
x-2+%3C=+9 or x-2+%3E=+-9 Solve these two inequalities.
x+%3C=11 or x+%3E=-7