Question

Explain how to graph the inequality x > -2 to someone you are speaking to on the phone.

Answer 1

To graph x > -2, draw a number line, mark an open circle at -2, and draw a solid line to the right to indicate all numbers greater than -2 are included in the solution set.

Step-by-step explanation:

To graph the inequality x > -2 on a number line, follow these steps:

1. Draw a horizontal line to represent the number line.
2. Mark a point on the line where x is equal to -2.
3. Since the inequality is x > -2 (which means x is greater than -2), you will use an open circle at -2 to indicate that -2 is not included in the solution.
4. Draw a solid line to the right of -2 to show that all numbers greater than -2 are included in the solution. Make sure this line goes on indefinitely to represent that all numbers to the right of -2 are part of the solution set.
5. Label the number line with numbers to give context to the graph. Make sure you include -2 as well as other numbers to show the positioning of the open circle clearly.

This graphical representation shows the set of all numbers that are greater than -2 on a number line. Remember, the open circle at -2 means that -2 is not a part of the solution set. The solid line extending to the right indicates that all numbers greater than -2 satisfy the inequality.