Question

Can anyone help me Solve and graph -3>2x-1>-5?

Answer 1

`-1>x> -2`

Explanation:

We have:

`-3>2x-1> -5`

This is essentially 2 inequalities in one - I can talk about what is bigger than `-3` and I can also talk about what is smaller than `-5`. With our question, we've simply combined them. This means that whatever operation we do to one part of the system of inequalities, we need to do it to all of them.

For instance, as a first step, let's add 1 to all sides:

`-3color(red)(+1)>2x-1color(red)(+1)> -5color(red)(+1)`

`-2>2x> -4`

And now let's divide by 2:

`-2/color(red)(2)>(2x)/color(red)(2)> -4/color(red)(2)`

`-1>x> -2`