Question

How do you solve and graph `-7>20+c`?

Answer 1

See a solution process below:

Explanation:

Subtract `color(red)(20)` from each side of the inequality to solve for `c` while keeping the inequality balanced:

`-color(red)(20) - 7 > -color(red)(20) + 20 + c`

`-27 > 0 + c`

`-27 > c`

We can reverse or "flip" the entire inequality to state the solution in terms of `c`:

`c < -27`

To graph this we will draw a vertical line at `-27` on the horizontal axis.

The line will be a dashed line because the inequality operator does not contain an "or equal to" clause.

We will shade to the left side of the line because the inequality operator does contains a "less than" clause:

graph{x < 27 [-40, 40, -20, 20]}