Question

How do you graph `8 + x/18 >= 7`?

Answer 1

See a solution process below:

Explanation:

First, we need to solve the inequality for `x`:

`-color(red)(8) + 8 + x/18 >= -color(red)(8) + 7`

`0 + x/18 >= -1`

`x/18 >= -1`

`color(red)(18) xx x/18 >= color(red)(18) xx -1`

`cancel(color(red)(18)) xx x/color(red)(cancel(color(black)(18))) >= -18`

`x >= -18`

To graph this we will draw a vertical line at `-18` on the horizontal axis.

The line will be a solid line because the inequality operator contains an "or equal to" clause.

We will shade to the right side of the line because the inequality operator also contains a "greater than" clause:

graph{x>=-18 [-30, 30, -15, 15]}