Question

graph $x > -4$.
(number line from -5 to 5 with -4 marked by an open circle and a green line to the right, along with buttons switch direction and make circle filled)
how do i graph the inequality?

Explanation:

Step1: Identify the critical point

The inequality is \( x > -4 \), so the critical value is \( -4 \). We mark this point on the number line.

Step2: Determine the circle type

Since the inequality is \( > \) (not \( \geq \)), we use an open (unfilled) circle at \( -4 \) to show that \( -4 \) is not included in the solution set.

Step3: Determine the direction of the line

For \( x > -4 \), the solutions are all numbers greater than \( -4 \), so we draw an arrow starting from the open circle at \( -4 \) and pointing to the right (towards positive infinity) on the number line.

Answer:

To graph \( x > -4 \):

1. Locate \( -4 \) on the number line.
2. Draw an open (unfilled) circle at \( -4 \) (because \( -4 \) is not a solution, as the inequality is \( > \), not \( \geq \)).
3. Draw a line with an arrow starting from the open circle at \( -4 \) and extending to the right (towards values greater than \( -4 \)) to represent all numbers greater than \( -4 \).