Final answer:
To graph the solution to the inequality |y|>4 on the number line, mark the points y=4 and y=-4 and draw arrows to represent the values of y that are greater than 4 or less than -4.
Step-by-step explanation:
To graph the solution to the inequality |y|>4 on the number line, follow these steps:
- Draw a number line.
- Mark the point y=4 and label it.
- Draw an open circle at y=4.
- Draw an arrow pointing to the right to represent all the values of y that are greater than 4.
- Repeat steps 2-4 for the values of y that are less than -4.
The graph should have two open circles at y=4 and y=-4, with arrows pointing to the right and left respectively, indicating all the values of y that are greater than 4 or less than -4.