Question

graph the inequality ( x > -3 ) on a number line. use the tools to enter your answer. number line with -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6 and tools below

Explanation:

Step1: Analyze the inequality

The inequality is \( x > -3 \). This means we need to represent all real numbers greater than -3 on the number line.

Step2: Determine the type of point at -3

Since the inequality is \( x > -3 \) (not \( x \geq -3 \)), we use an open circle (or hollow dot) at \( x = -3 \) to indicate that -3 is not included in the solution set.

Step3: Draw the arrow direction

We draw an arrow to the right of -3 on the number line to show that all numbers greater than -3 (i.e., -2, -1, 0, 1, 2, ... and all real numbers in between) are part of the solution.

To graph this on the given number line:

1. Locate the point -3 on the number line.
2. Place an open circle (the "o" tool) at -3.
3. Draw an arrow starting from the open circle at -3 and going to the right (towards positive infinity) along the number line.

Answer:

(Open circle at -3, arrow pointing to the right on the number line)