Question

Which inequality represents all the solutions of
9(4x-8) < 4(6x + 9)?

Answer 1

x < 9

Explanation:

Our original inequality:

`9(4x-8) < 4(6x+9)`

Firstly, let's expand the brackets on both sides:

`36x - 72 < 24x + 36`

Now, we add the 72 over to isolate the
`x`:

`36x < 24x + 108`

Next, we take away the
`24x` to isolate the
`x`:

`12x < 108`

Finally, we divide both sides by 12 to convert the
`12x` to
`x`:

`x < 9`

This means our final answer is
`x < 9`.