Question

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

Answer 1

`z>=-6/8=-3/4`

Explanation:

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

`8z-9>=-15`

`8z>=-6`

`z>=-6/8=-3/4`

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