Question

solve the inequality and graph the solution.

\\( \frac { p } { 4 } + 13 < 15 \\)

to draw a ray, plot an endpoint and select an arrow. select an endpoint to change it from closed to open. select the middle of the ray to delete it.

Explanation:

Step1: Subtract 13 from both sides

$$\frac{p}{4}+13 - 13<15 - 13$$
$$\frac{p}{4}<2$$

Step2: Multiply both sides by 4

$$\frac{p}{4}\times4<2\times4$$
$$p < 8$$

To graph the solution:

• Plot an open circle at \(p = 8\) (since the inequality is \(p<8\), the value \(p = 8\) is not included in the solution set).
• Draw a ray extending to the left from the open - circle at \(8\) towards the negative infinity.

Answer:

The solution of the inequality is \(p < 8\). The graph has an open circle at \(8\) and a ray extending to the left.