Chapter 2.4, Problem 4E

To determine

To match: the inequality with its graph.

Answer to Problem 4E

The correct match is A.

Explanation of Solution

Given information:

Given inequality

  $4p+4\ge 12$

Given graphs

Calculation:

Solve the above considered inequality for $b$ as follows:

Add 4 on both sides of the inequality.

  $\begin{array}{c}4p+4-4\ge 12-4\\ 4p\ge 8\end{array}$

Divide on both sides by 4 to get.

  $\begin{array}{c}\frac{4p}{4}\ge \frac{8}{4}\\ p\ge 2\end{array}$

Draw the number line $p\ge 2$ as shown below:

The number line which represents $p\ge 2$ is given in choice A.

Hence, the correct match is A.