Question

4a. an emperor penguin’s dive can reach more than 1,600 feet deep. write an inequality to represent how deep a penguin can dive using the variable d. d > 1600
4b. graph the inequality below.

Explanation:

Step1: Identify the inequality

The inequality from 4A is \( d > 1600 \). For graphing a one - variable inequality on a number line:

• First, locate the number \( 1600 \) on the number line.
• Since the inequality is \( d>1600 \) (not \( d\geq1600 \)), we use an open circle at \( 1600 \). An open circle indicates that \( 1600 \) is not included in the solution set.

Step2: Draw the arrow

After placing the open circle at \( 1600 \), we draw an arrow to the right of \( 1600 \) on the number line. This is because we want to represent all the numbers \( d \) that are greater than \( 1600 \), and the numbers greater than \( 1600 \) lie to the right of \( 1600 \) on the number line.

Answer:

To graph \( d > 1600 \):

1. Draw a number line.
2. Place an open circle at \( 1600 \) (because \( 1600 \) is not included in the solution as the inequality is \(>\) not \(\geq\)).
3. Draw an arrow pointing to the right from the open circle to represent all values of \( d \) greater than \( 1600 \).