Solve the inequality and graph the solution.

Question

c+4<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 \( c + 4 < 5 \), we can isolate \( c \) by subtracting 4 from both sides:

\[ c + 4 - 4 < 5 - 4 \] \[ c < 1 \]

This means that \( c \) can take any value less than 1.

Step 1: Identify the Endpoints

The endpoint in this case is 1.

Step 2: Determine the Type of Endpoint

Since the inequality is \( c < 1 \), we will use an open endpoint at 1. This means that 1 is not included in the solution.

Step 3: Graph the Solution

To graph the solution:

1. Draw a number line.
2. Mark the point at 1.
3. Use an open circle at 1 to indicate that it is not included in the solution.
4. Shade to the left of 1 to indicate that all numbers less than 1 are included in the solution.

Graph Representation:

<---(---|------>
       1

Summary:

• The solution to the inequality is \( c < 1 \).
• The graph features an open circle at 1, with a shaded region extending to the left, indicating all values less than 1.