Question

from the numberline buttons, click the type of point (closed or open) to represent the inequality symbol (solid for ≤ or ≥ and open for < or >). then click the corresponding value on the numberline (you may add as many points as you’d like). now click the line/arrow button. click on the point you placed and drag the line to your desired ending point. if you would like it to go on indefinitely, drag it to the end of the numberline and an arrow will be added. please practice this until you are comfortable with the drawing features.

Explanation:

Step1: Identify the inequality symbol

The inequality is \( y \leq 5 \). The symbol \( \leq \) means we use a closed (solid) point because the value \( 5 \) is included in the solution set.

Step2: Locate the value on the number line

Find the number \( 5 \) on the number line.

Step3: Place the closed point

Click the closed (solid) point button (the black dot) and then click on the position corresponding to \( 5 \) on the number line.

Step4: Draw the line and arrow

Click the line/arrow button (the arrow button). Drag the line from the point at \( 5 \) to the left (towards smaller numbers) and if we want it to go on indefinitely, drag it to the end of the number line on the left side, and an arrow will be added to indicate the solution set includes all numbers less than or equal to \( 5 \).

Answer:

To graph \( y \leq 5 \), place a closed (solid) point at \( 5 \) on the number line and draw a line with an arrow pointing to the left (towards negative infinity) from that point.