Question

solve the inequality and graph the solution.
7f ≤ -7
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: Isolate the variable f

Divide both sides of the inequality $7f\leq - 7$ by 7. Since 7 is positive, the inequality sign remains the same. So, $\frac{7f}{7}\leq\frac{-7}{7}$.

Step2: Simplify the expressions

We get $f\leq - 1$.
To graph, we plot a closed - circle at $-1$ (because the inequality is $\leq$) and draw a ray to the left.

Answer:

The solution of the inequality is $f\leq - 1$. On the number - line, we have a closed - circle at $-1$ and a ray extending to the left.