Question

How do you solve `30< 5x \leq 40`?

Answer 1

See the entire solution process below:

Explanation:

To solve this divide each portion of the system of inequalities by `color(red)(5)` to solve for `x` while keeping the system of inequalities balanced:

`30/color(red)(5) < (5x)/color(red)(5) <= 40/color(red)(5)`

`6 < (color(red)(cancel(color(black)(5)))x)/cancel(color(red)(5)) <= 8`

`6 < x <= 8`