Question

solve the inequality and graph the solution.
18 < -6f
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: Divide both sides by -6

When dividing an inequality by a negative number, the inequality sign flips.
$$\frac{18}{-6}>\frac{-6f}{-6}$$

Step2: Simplify

Simplify the left - hand side $\frac{18}{-6}=-3$ and the right - hand side $\frac{-6f}{-6}=f$.
So, $-3 > f$ or $f < - 3$.

Answer:

The solution of the inequality is $f < - 3$. On the number line, we have an open circle at $-3$ (because the inequality is strict, $f
eq - 3$) and the line extends to the left (towards more negative numbers).