How do you solve #4x<2x-2<10#?
The solution is
You can split up the compound inequality into two, smaller inequalities, like this:
We will get one solution from each of the inequalities, and we have to find where they "overlap," or in other words, where their values are the same (this will make more sense later).
Solving each inequality:
Now, if we graph these points on a number line, it will be easier to see where their lines overlap:
We can see that the only place where both lines are in common is where
Hope this helped!