Solve the inequality and graph the solution.

Question

20>5y
Plot the endpoints. Select an endpoint to change it from closed to open. Select the middle of the segment, ray, or line to delete it.

Answer 1

To solve the inequality \( 20 > 5y \), we first isolate \( y \):

1. Divide both sides by 5: \[ \frac{20}{5} > y \] \[ 4 > y \] or equivalently, \[ y < 4 \]

The solution to the inequality is \( y < 4 \).

Graphing the Solution

1. Identify the endpoint: The endpoint is \( y = 4 \).
2. Select an endpoint to change it from closed to open: Since we are dealing with \( y < 4 \), we will make the endpoint at \( y = 4 \) an open circle (indicating that 4 is not included in the solution).
3. Graph the inequality:
   • Draw a number line.
   • Place an open circle at \( 4 \) (this indicates that \( 4 \) is not included).
   • Shade the region to the left of \( 4 \) to indicate all values less than \( 4 \).

Summary of the Graph

• Open circle at \( 4 \)
• Shaded line extending left from \( 4 \)

This completes the solution and the graph of the inequality \( y < 4 \).