Solve the inequality and graph the solution.

Question

14<c+16
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 \( 14 < c + 16 \), we first isolate \( c \).

1. Subtract 16 from both sides:

\[ 14 - 16 < c \]

This simplifies to:

\[ -2 < c \]

which can also be written as:

\[ c > -2 \]

Now we can graph the solution.

Graphing the Solution

1. Identify the endpoint: The inequality \( c > -2 \) tells us the endpoint is \(-2\).

2. Open or Closed Endpoint: Since the inequality is strictly greater than (i.e., \( > \)), we will use an open circle at \(-2\).

3. Plotting: Graph a number line:

   • Draw an open circle at \(-2\).
   • Shade to the right of \(-2\) to indicate that \( c \) can take values greater than \(-2\).

Final Graph Representation:

• Open Circle at \(-2\) (indicating we do not include \(-2\))
• Arrow pointing to the right, indicating all values greater than \(-2\).

This represents the complete solution to the inequality \( c > -2 \).