Question

solve the inequality and graph the solution. 1 ≥ (p - 3)/5. 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: Multiply both sides by 5

$1\times5\geq\frac{p - 3}{5}\times5$, which simplifies to $5\geq p - 3$.

Step2: Add 3 to both sides

$5+3\geq p-3 + 3$, so $8\geq p$ or $p\leq8$.

Answer:

The solution of the inequality is $p\leq8$. On the number - line, we place a closed circle at 8 (since the inequality is $\leq$) and draw a ray to the left.