Question

1. $y < -3$

Explanation:

Step1: Understand the inequality

We have the inequality \( y < -3 \). This means we need to represent all real numbers \( y \) that are less than -3 on the number line.

Step2: Locate -3 on the number line

Find the point corresponding to -3 on the given number line.

Step3: Determine the type of circle

Since the inequality is \( y < -3 \) (not \( y \leq -3 \)), we use an open circle at -3 to indicate that -3 is not included in the solution set.

Step4: Determine the direction of the arrow

For \( y < -3 \), the solutions are all numbers to the left of -3 on the number line. So we draw an arrow starting from the open circle at -3 and pointing to the left (towards more negative numbers).

Answer:

To graph \( y < -3 \) on the number line:

1. Place an open circle at \( -3 \) (because \( y \) is strictly less than -3, not equal to -3).
2. Draw an arrow starting from the open circle at \( -3 \) and pointing to the left (towards \( -4, -5, -6, \dots \)) to represent all values of \( y \) that are less than -3.