Question

graph the inequality below on the number line. b<8

Explanation:

Step1: Determine the type of dot

Since the inequality is \( b < 8 \) (not \( b\leq8 \)), we use an open circle (○) at 8 to show that 8 is not included.

Step2: Determine the direction of the arrow

For \( b < 8 \), we shade the region to the left of 8 (all numbers less than 8). So we place the open circle on 8 and draw an arrow pointing to the left.

To graph it: First, place the open circle (○) on the number 8 on the number line. Then, draw a line (using the arrow tool) from the open circle towards the left (towards smaller numbers) to represent all values of \( b \) that are less than 8.

Answer:

1. Place an open circle (○) on the number 8 on the number line.
2. Draw an arrow starting from the open circle and pointing to the left (towards -11) to represent all \( b \) such that \( b < 8 \).