Question

solve the inequality and graph the solution.
\\( \frac { f } { 4 } \leq - 1 \\)
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: Solve the inequality

Multiply both sides by \(4\) to isolate \(f\).
$$\frac{f}{4}\times4\leq - 1\times4$$

Step2: Simplify

Simplify the left - hand side \(\frac{f}{4}\times4 = f\) and the right - hand side \(-1\times4=-4\). So \(f\leq - 4\).

Answer:

The solution of the inequality is \(f\leq - 4\). On the number line, we plot a closed circle at \(-4\) (because the inequality is \(\leq\)) and draw a ray to the left (towards the negative direction) to represent all values of \(f\) that are less than or equal to \(-4\).