Solve the inequality and graph the solution.

Question

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2<c+2
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 \( -2 < c + 2 \), we will first isolate \( c \).

1. Subtract 2 from both sides: \[ -2 - 2 < c \] \[ -4 < c \] This can also be written as: \[ c > -4 \]

Now we can denote the solution set:

• The solution includes all values of \( c \) that are greater than -4.

Graphing the Solution

1. Endpoint: The endpoint is at \( -4 \).
2. Type of Endpoint: Since the inequality is strictly greater than \( -4 \) (not inclusive), we will represent -4 as an open dot (not included).
3. Direction of the Ray: Since \( c \) can take on any value greater than -4, we draw an arrow to the right (indicating all values greater than -4).

Final Graph Representation

• Open circle (or dot) at \( -4 \) to indicate it is not included.
• Arrow extending to the right from \( -4 \).

So, in summary, the graph would look like:

<---( -4 )-------------------->

This indicates that all values greater than \( -4 \) are included in the solution set.