# How do you solve 8z-9>=-15 and graph the solution on a number line?

$z \ge - \frac{6}{8} = - \frac{3}{4}$

#### Explanation:

We perform operations on an inequality in pretty much the same way we do with an equality.

$8 z - 9 \ge - 15$

$8 z \ge - 6$

$z \ge - \frac{6}{8} = - \frac{3}{4}$

And so on a number line, we draw a solid dot on $- \frac{3}{4}$ (indicating that the solution includes all the points leading up to and including $- \frac{3}{4}$) and then draw a ray to the right (essentially an arrow starting at the dot and heading towards $+ \infty$)