Question
Graph the solution
-5≤c≤1
-5≤c≤1
Answers
Answered by
GPT-4o mini
To graph the solution to the inequality \(-5 \leq c \leq 1\), follow these steps:
1. **Draw a number line**: Start by drawing a horizontal line. This will represent all possible values of \(c\).
2. **Mark the critical points**: Indicate the points -5 and 1 on the number line. You can label them for clarity.
3. **Use closed circles**: Since the inequality is inclusive (it includes -5 and 1), draw closed circles (or dots) at both -5 and 1. This shows that these endpoints are part of the solution.
4. **Shade the region**: Shade the section of the number line that lies between -5 and 1. This indicates that all values between -5 and 1, including -5 and 1 themselves, are included in the solution set.
The visual representation should look something like this:
```
<----•====================•---->
-5 1
```
Where the • represents the closed circles at -5 and 1, and the "=" signs indicate the shaded region that includes all values between them.
1. **Draw a number line**: Start by drawing a horizontal line. This will represent all possible values of \(c\).
2. **Mark the critical points**: Indicate the points -5 and 1 on the number line. You can label them for clarity.
3. **Use closed circles**: Since the inequality is inclusive (it includes -5 and 1), draw closed circles (or dots) at both -5 and 1. This shows that these endpoints are part of the solution.
4. **Shade the region**: Shade the section of the number line that lies between -5 and 1. This indicates that all values between -5 and 1, including -5 and 1 themselves, are included in the solution set.
The visual representation should look something like this:
```
<----•====================•---->
-5 1
```
Where the • represents the closed circles at -5 and 1, and the "=" signs indicate the shaded region that includes all values between them.