Question

How do you solve and graph `20b ≥ -120`?

Answer 1

See a solution process below:

Explanation:

Divide each side of the inequality by `color(red)(20)` to solve for `b` while keeping the inequality balanced:

`(20b)/color(red)(20) >= -120/color(red)(20)`

`(color(red)(cancel(color(black)(20)))b)/cancel(color(red)(20)) >= -6`

`b >= -6`

To graph this we will draw a vertical line at `-6` 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>=-6}