Question

current skill 1
inequality:
x > -4
graph:
number line options

Explanation:

Step1: Analyze the inequality \( x > -4 \)

The inequality \( x > -4 \) means we need to represent all real numbers greater than -4 on the number line. First, we locate -4 on the number line.

Step2: Determine the type of dot and direction

Since the inequality is \( > \) (not \( \geq \)), we use an open circle (or open dot) at -4 to indicate that -4 is not included in the solution set. Then, we draw an arrow to the right of -4 to show all numbers greater than -4.

Answer:

To graph \( x > -4 \):

1. Find -4 on the number line.
2. Place an open circle (open dot) at -4 (because \( x \) is strictly greater than -4, so -4 is not included).
3. Draw an arrow starting from the open circle and pointing to the right (towards positive infinity) to represent all numbers greater than -4.