# How do you solve -2x-6<=1?

Dec 10, 2016

$x \ge - \frac{7}{2}$

#### Explanation:

First, we need to isolate the $x$ term on one side of the inequality while keeping the inequality balanced:

$- 2 x - 6 + 6 \le 1 + 6$

$- 2 x - 0 \le 7$

$- 2 x \le 7$

Now we can solve for $x$. However, the rule for inequalities is if you multiply or divide by a negative number you must reverse the inequality:

$\frac{- 2 x}{-} 2 \textcolor{red}{\ge} \frac{7}{- 2}$

$x \ge - \frac{7}{2}$