Question

How do you solve and graph `5+c<=1`?

Answer 1

See a solution process below:

Explanation:

Subtract `color(red)(5)` from each side of the inequality to solve for `c` while keeping the inequality balanced:

`-color(red)(5) + 5 + x <= -color(red)(5) + 1`

`0 + x <= -4`

`x <= -4`

To graph this we draw a solid vertical line at `-4` on the x axis. The line is solid to indicate the inequality is a "less than or equal to" operator and includes the value `-4`. Then you shade to the left of the line to indicated the "less than":

graph{x <= -4 [-10, 5, -5, 5]}