How do you solve 4v+9<=5 or -3v>=-6?

Jun 6, 2018

$v \le - 1$ or $v \le 2$

Explanation:

$4 v + 9 \le 5$

Let's subtract $9$ from both sides to get

$4 v \le - 4$

Lastly, dividing both sides by $4$, we get

$\textcolor{\mathrm{da} r k v i o \le t}{v \le - 1}$

Working on our second inequality

$- 3 v \ge - 6$

We can divide both sides by $- 3$. Since we are dividing by a negative, the direction of the inequality flips. We now have

$\textcolor{\mathrm{da} r k v i o \le t}{v \le 2}$

Our solutions are in purple.

Hope this helps!