Question

graph the inequality below on the number line.
a > -8

Explanation:

Step1: Analyze the inequality \(a > -8\)

The inequality \(a > -8\) means we need to represent all real numbers greater than -8 on the number line. For strict inequalities (using \(>\) or \(<\)), we use an open circle at the boundary point (since -8 is not included in the solution set) and draw an arrow to the right (because we want values greater than -8).

Step2: Place the open circle

Locate -8 on the number line. Since \(a > -8\) (not \(a \geq -8\)), we place an open circle at -8.

Step3: Draw the arrow

From the open circle at -8, draw an arrow pointing to the right (towards positive infinity) to represent all numbers greater than -8.

Answer:

To graph \(a > -8\) on the number line:

1. Find -8 on the number line.
2. Draw an open circle at -8 (because -8 is not included in the solution set for \(a > -8\)).
3. Draw an arrow starting at the open circle and pointing to the right (indicating all values greater than -8).