Question

graph the inequality below on the number line.

y < -9

Explanation:

Step1: Analyze the inequality

The inequality is \( y < -9 \). For graphing on a number line, since the inequality is strict (\(<\), not \(\leq\)), we use an open circle at the critical point \(-9\).

Step2: Determine the direction

The solution includes all numbers less than \(-9\), so the arrow should point to the left (towards more negative numbers) from the open circle at \(-9\).

Step3: Place the open circle

Locate \(-9\) on the number line. Since \( y < -9 \) (not equal), we use an open circle (the white circle icon) at \(-9\).

Step4: Draw the arrow

Draw an arrow to the left from the open circle at \(-9\) to represent all values less than \(-9\).

Answer:

1. Place an open circle (white circle) at \(-9\) on the number line.
2. Draw an arrow pointing to the left from the open circle at \(-9\).