# How do you solve -7\geq 6u - 43?

Jan 12, 2018

See a solution process below:

#### Explanation:

First, add $\textcolor{red}{43}$ to each side of the inequality to isolate the $u$ term while keeping the inequality balanced:

$- 7 + \textcolor{red}{43} \ge 6 u - 43 + \textcolor{red}{43}$

$36 \ge 6 u - 0$

$36 \ge 6 u$

Now, divide each side of the inequality by $\textcolor{red}{6}$ to solve for $u$ while keeping the inequality balanced:

$\frac{36}{\textcolor{red}{6}} \ge \frac{6 u}{\textcolor{red}{6}}$

$6 \ge \frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{6}}} u}{\cancel{\textcolor{red}{6}}}$

$6 \ge u$

We can reverse or "flip" the entire inequality to state the solution in terms of $u$:

$u \le 6$