Evaluating expressions please help
1 answer:
You might be interested in
Answer:
-3 < x < 3
x is some number between -3 and 3; x cannot equal -3, x cannot equal 3
graph shown below
==============================================
Work Shown:
5|x| + 3 < 18
5|x| + 3 - 3 < 18-3 ... see note 1
5|x| < 15
(5|x|)/5 < 15/5 .... note 2
|x| < 3
-3 < x < 3 .... note 3
graph shown below
-----------
note 1: Subtract 3 fom both sides to undo the "+3"
note 2: Divide both sides by 5 to undo the multiplication
note 3: If |x| < k, for some positive number k, then -k < x < k
For this case we must simplify the following expression:
So, solving the first parentheses we have:
We have to:
We add similar terms taking into account that different signs are subtracted and the sign of the major is placed:
Finally, the simplified expression is:
ANswer: