We have the following inequality given:
[tex]9u-34\leq-4(4-3u)[/tex]
We can start distributing the terms in the rigth and we got:
[tex]9u-34\leq-16+12u[/tex]
Now we can subtrcat 12u in both sides of the inequality and we got:
[tex]-3u-34\leq-16[/tex]
Finally we can add 34 in both sides of the inequalty and we got:
[tex]-3u\leq18[/tex]
We can multiply both sides of the inequality by -1 and we got this:
[tex]3u\ge-18[/tex]
Finally dividing by 3 we got:
[tex]u\ge-6[/tex]
