Question

solve the inequality and graph the solution.
4f ≤ -8
to draw a ray, plot an endpoint and select an arrow. select an endpoint to change it from closed to open. select the middle of the ray to delete it.

Explanation:

Step1: Isolate the variable \( f \)

Divide both sides of the inequality \( 4f\leq - 8 \) by \( 4 \).
$$\frac{4f}{4}\leq\frac{-8}{4}$$

Step2: Simplify

Simplify the left - hand side \( \frac{4f}{4}=f \) and the right - hand side \( \frac{-8}{4}=-2 \). So \( f\leq - 2 \).

To graph \( f\leq - 2 \):

• Plot a closed endpoint at \( - 2 \) (because the inequality includes equality, i.e., \( \leq \)).
• Draw an arrow to the left (since \( f \) is less than or equal to \( - 2 \)).

Answer:

The solution of the inequality is \( f\leq - 2 \). On the number line, there is a closed circle at \( - 2 \) and an arrow pointing to the left.