Question

How do you solve and graph `a/9>=-15`?

Answer 1

See a solution process below:

Explanation:

Multiply each side of the equation by `color(red)(9)` to solve for `a` while keeping the equation balanced:

`color(red)(9) xx a/9 >= color(red)(9) xx -15`

`cancel(color(red)(9)) xx a/color(red)(cancel(color(black)(9))) >= -135`

`a >= -135`

To graph this we draw a vertical line at `-135` on the horizontal axis. We will draw a solid line because the inequality operator has a "or equal to" term in it. We will shade to the right of the line because the inequality operator is a "greater than" term in it.

graph{x >= -135 [-150, 150, -75, 75]}