Question

How do you solve `-5< \frac{8x - 5}{6} < 7`?

Answer 1

Undo the operations surrounding `x` by applying the inverses to both sides in the reverse order.

Explanation:

Multiply all sides by `6`:

`-30 < 8x - 5 < 42`

Add `5`:

`-25 < 8x < 47`

Divide all sides by `8`:

`-25/8 < x < 47/8`