# How do you solve x>=(x+6)/5 and graph the solution on a number line?

Sep 11, 2016

$x \ge \frac{3}{2}$

#### Explanation:

$x \ge \frac{x + 6}{5}$

Multiply both sides by 5.
$5 \cdot x \ge \left(\frac{x + 6}{5}\right) \cdot 5$
$5 x \ge x + 6$

Subtract x from both sides.
$5 x - x \ge x + 6 - x$
$4 x \ge 6$

Divide both sides by 4.
$\frac{4 x}{4} \ge \frac{6}{4}$
$x \ge \frac{3}{2}$

To graph on a number line, used a closed circle because of the $\ge$ inequality. An open circle would be used if it were only $>$ The arrow points right to indicate greater than $\frac{3}{2}$.