# How do you solve the two step inequality 5/6 v+7<=-3?

Dec 5, 2015

$v \le - 12$

#### Explanation:

You treat this the way you do any algebra manipulation. One trap you have to watch for though is that it is imperative you keep in mind that 'the v part' is less than. This can catch you out when multiplying by (-1). We are not doing so in this problem!

Given: $\frac{6}{6} v + 7 \le - 3$

Subtract 7 from both sides giving:

$\frac{5}{6} v + \left(7 - 7\right) \le - 3 - 7$

$\frac{5}{6} v \le - 10$

Multiply both sides by 6

$\frac{6}{6} \times 5 v \le \left(- 10\right) \times 6$

$5 v = - 60$

Divide both sides by 5

$\frac{5}{5} v \le \frac{- 60}{5}$

$v \le - 12$