Question

How do you solve and graph `4 ≥ k + 3`?

Answer 1

See a solution process below:

Explanation:

Subtract `color(red)(3)` from each side of the inequality to solve for `k` while keeping the inequality balanced:

`4 - color(red)(3) >= k + 3 - color(red)(3)`

`1 >= k + 0`

`1 >= k`

To state the solution in terms of `k` we can reverse or "flip" the entire inequality:

`k <= 1`

To graph this we draw a vertical line at `1` on the chart.

Because the inequality contains an "or equal to" operator we will draw a solid line.

Because the inequality solution is "less than" we will shade to the left of the line.

graph{x<=1}