Question

I'm confused with this problem, I forgot how to do these types awhile ago, can you help?

Answer 1

We have the following inequality given:

$9u-34\leq-4(4-3u)$

We can start distributing the terms in the rigth and we got:

$9u-34\leq-16+12u$

Now we can subtrcat 12u in both sides of the inequality and we got:

$-3u-34\leq-16$

Finally we can add 34 in both sides of the inequalty and we got:

$-3u\leq18$

We can multiply both sides of the inequality by -1 and we got this:

$3u\ge-18$

Finally dividing by 3 we got:

$u\ge-6$