Question 1094222: Solve the absolute value inequality. Write interval notation for the solution set.
[7-5x]greater than or equal to 15
Answer by ikleyn(52803)   (Show Source):
You can put this solution on YOUR website! .
If you want to write "absolute value inequality", then do not use brackets [ ] instead of absolute value sign.
Use |7-5x| >= 15.
If it is what you want, then confirm please.
comment from student: Yes, this is what I was trying to write.
My response. OK. So, I will explain you how to solve an inequality
|7-5x| >= 15
Divide both sides by 5. You will get an equivalent inequality
|7/5 - x| >= 3.
Its solutions are those "x" that are remoted at least in 3 units from the point  on the number line.
So, the solution set is x <=  and x >=  , or, which is the same,
x <=  and x >=  .
Answer. The solution set is the union of two intervals [-infinity,-1.6] U [4.4,infinity] on the number line.
Solved.
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