SOLUTION: I dont understand what i'm supposed to do. i tried dividing the problem by 5 to isolate the x but im sure what to do after that. the question is: The interval described in set-

Algebra ->  Inequalities -> SOLUTION: I dont understand what i'm supposed to do. i tried dividing the problem by 5 to isolate the x but im sure what to do after that. the question is: The interval described in set-      Log On


   

Question 211811: I dont understand what i'm supposed to do. i tried dividing the problem by 5 to isolate the x but im sure what to do after that. the question is:
The interval described in set-builder notation by the inequality |5x+0|<25 has an interval notation (a,b).
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
In absolute-value problems such as this one, you need first to remove the absolute-value bars. When you do this, you will get two inequalities, for example:
abs%28a%29+%3C+b Remove the bars.
a+%3C+b or a+%3E+-b.
So for your problem:
abs%285x%2B0%29+%3C+25 Remove the bars.
5x%2B0+%3C+25 or 5x%2B0+%3E+-25 Now solve these two inequalities by dividing both sides by 5.
x+%3C+5 or x+%3E+-5 So the Interval would be:
(-5 < x < 5)
(-5, 5)