SOLUTION: Rewrite -3 less than or equal to x less than or equal to -1 using absolute value sign.

Algebra ->  Absolute-value -> SOLUTION: Rewrite -3 less than or equal to x less than or equal to -1 using absolute value sign.      Log On


   

Question 1170672: Rewrite -3 less than or equal to x less than or equal to -1 using absolute value sign.
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
Rewrite

-3+%3C=+x+%3C=-1

-----------⬤====⬤----------
-6  -5 -4 -3 -2 -1  0  1  2
Find the midpoint between the endpoints by looking and seeing
that -2 is right in the middle, or else by averaging them:

%28%28-3%29%2B%28-1%29%29%2F2=%28-4%29%2F2=-2

We see that the midpoint is each exactly 1 unit from each
endpoint.  So the absolute value of the difference between any
point on the interval and the midpoint is 1 unit, so the way
to say that is

abs%28x-%28-2%29%29%3C=1

or simplifying

abs%28x%2B2%29%3C=1

Edwin