Question

graph the inequality below on the number line.

x < 9

number line from -11 to 11 with tick marks at each integer

Explanation:

Step1: Determine the type of circle

Since the inequality is \( x < 9 \) (not \( x \leq 9 \)), we use an open circle at 9 to show that 9 is not included.

Step2: Determine the direction of the line

For \( x < 9 \), we shade the region to the left of 9 on the number line, indicating all numbers less than 9.

To graph it: Place an open circle at 9 (on the number line at the position labeled 9) and draw a line with an arrow pointing to the left (towards smaller numbers) starting from the open circle.

Answer:

• Open circle at 9, line (with arrow) shaded to the left of 9.