Question

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

Answer 1

Answer:

x < 9

Step-by-step 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 $x < 9$.