Chapter 2.4, Problem 8Q

To determine

To solve: the inequality and to sketch the graph of solution.

Answer to Problem 8Q

The solution is $p\ge 6$ .

Explanation of Solution

Given information:

Given inequality

  $3p\ge 18$

Calculation:

The inequality remains unchanged if same operations with same numbers are performed on both sides on the inequality. If multiplication or division with negative numbers involved, then the sign of the inequality is reversed.

To solve the above inequality for $p$ , divide both sides of the above inequality with 3.

Here, the division is performed with appositive number, so the inequality sign is not changed.

  $\begin{array}{c}\frac{3p}{3}\ge \frac{18}{3}\\ p\ge 6\end{array}$

Hence, the solution is $p\ge 6$ .

The graph which represents the solution $p\ge 6$ is shown below: