Solve the inequality and graph the solution.

Question

h+3>5
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 \( h + 3 > 5 \), we can start by isolating \( h \):

1. Subtract 3 from both sides:

   \[ h > 5 - 3 \]

   This simplifies to:

   \[ h > 2 \]

The solution to the inequality is \( h > 2 \).

Graphing the Solution

1. Endpoints: The endpoint for this inequality is \( h = 2 \). Since the inequality is strict (greater than, not greater than or equal to), we will use an open circle to represent that \( h = 2 \) is not included in the solution.

2. Ray: Since the solution is \( h > 2 \), we will draw a ray that extends to the right from 2, indicating that all values greater than 2 are included in the solution.

Summary of the Graph

• An open circle is placed at \( h = 2 \) to indicate it is not included in the solution.
• A ray extends to the right from the open circle, indicating all values greater than 2 are included in the solution.

Here is a visual representation of the graph:

----o===================>
    2

In this graph, the "o" represents the open circle at \( 2 \), and the "=====" line indicates all numbers greater than 2.