Question

part e: graph the solutions. graph the solution on a number line. 14. x < 4. 15. y ≥ -2. challenge question. 16. a movie theater requires customers to be at least 13 years old to watch a pg - 13 movie. write and graph an inequality that represents the possible ages of people allowed to watch. reminder: - use an open circle for < or >. - use a closed circle for ≤ or ≥.

Explanation:

Step1: Graph \(x < 4\)

Draw a number - line. Place an open circle at \(x = 4\) (since \(x\) is strictly less than 4) and shade the line to the left of 4.

Step2: Graph \(y\geq - 2\)

Draw a number - line. Place a closed circle at \(y=-2\) (since \(y\) can be equal to - 2) and shade the line to the right of - 2.

Step3: Write and graph the inequality for the movie - theater age

Let \(a\) be the age of a person. The inequality is \(a\geq13\). Draw a number - line. Place a closed circle at \(a = 13\) and shade the line to the right of 13.

Answer:

1. On the number - line for \(x\), an open circle at 4 and shading to the left.
2. On the number - line for \(y\), a closed circle at - 2 and shading to the right.
3. The inequality is \(a\geq13\). On the number - line for \(a\), a closed circle at 13 and shading to the right.