To solve the inequality \( h + 3 > 5 \), we can start by isolating \( h \):
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Subtract 3 from both sides:
\[ h > 5 - 3 \]
This simplifies to:
\[ h > 2 \]
The solution to the inequality is \( h > 2 \).
Graphing the Solution
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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.
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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.