Question

solve the inequality -8<2x-4<4

Answer 1

Treat it like you would an equation. Add 4 to each term, then divide by 2, giving you x alone.

Answer 2

Have you considered dividing everything by 2 and making your life much easier? Divide first. Trust me on this.

Answer 3

I've never done one of these with three expressions before but I'll give it a go:

-8<2x-4<4
-4<x-2<2 (divide all by 2)
-2<x<4 (add 2 to both sides)

The reason that you add it to both sides is because the two outside values stay at the same difference from each other and what you are doing by adding 2 is translating the two functions upwards in order to simplify the function but not change the values that it yields.
Hope this helped/is right

Answer 4

It's much easier to understand the problem if you break the whole thing into two separate equations (which will not change the value of the expression at all)

Remember, solving inequalities is pretty much the same as solving equations with an equal sign. The only difference is when you have to divide one side by a negative number, in which you just flip the inequality sign. Eg. -2x<6= x>-3

Okay, anyway:

First look at -8<2x-4.
Then once you've solved it, look at 2X-4<4

I think you can handle these :) Go for it! Hope this helped~