Question

solve the inequality and graph the solution.
3(f - 2) ≥ -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: Distribute 3

$3(f - 2)=3f-6$, so the inequality becomes $3f - 6\geq - 3$.

Step2: Add 6 to both sides

$3f-6 + 6\geq - 3+6$, which simplifies to $3f\geq3$.

Step3: Divide both sides by 3

$\frac{3f}{3}\geq\frac{3}{3}$, so $f\geq1$.

Answer:

The solution of the inequality is $f\geq1$. On the number - line, we put a closed circle at $f = 1$ (because the inequality is $\geq$) and draw a ray to the right.