Question

solve the inequality and graph the solution.

f + 3 > -3

plot the endpoints. select an endpoint to change it from closed to open. select the middle of the segment, ray, or line to delete it.

Explanation:

Step1: Subtract 3 from both sides

$$f+3-3>-3 - 3$$

Step2: Simplify the inequality

$$f>-6$$

Answer:

The solution of the inequality \(f + 3>-3\) is \(f>-6\). On the number - line, we plot an open circle at \(-6\) (because the inequality is strict, i.e., \(f\) is not equal to \(-6\)) and draw a ray to the right of \(-6\) to represent all the values of \(f\) that satisfy the inequality.