Question
The number line representing \(d>-4\) has a hollow circle at \(-4\) and an arrow extending to the right.
Answers
GPT-4o mini
To visualize the inequality \(d > -4\) on a number line, follow these steps:
1. **Draw a horizontal line**: This will be your number line.
2. **Mark the point -4**: Place a point on the number line to indicate \(-4\).
3. **Use a hollow circle**: Since the inequality is strictly greater than (-4), place a hollow circle at \(-4\) to show that this point is not included in the solution.
4. **Draw an arrow to the right**: From the hollow circle at \(-4\), draw an arrow that extends to the right to indicate that all values greater than \(-4\) are included in the solution.
The final representation will clearly show that the inequality is satisfied for any number greater than \(-4\), but not for \(-4\) itself.
Here’s a text representation of the number line:
```
<---|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|--->
... -5 -4 -3 -2 -1 0 1 2 3 4 ...
⭕----------------------------->
```
In this representation, the hollow circle (⭕) at \(-4\) indicates that \(-4\) is not included in the solution, while the arrow extending to the right indicates all numbers greater than \(-4\) are included.
1. **Draw a horizontal line**: This will be your number line.
2. **Mark the point -4**: Place a point on the number line to indicate \(-4\).
3. **Use a hollow circle**: Since the inequality is strictly greater than (-4), place a hollow circle at \(-4\) to show that this point is not included in the solution.
4. **Draw an arrow to the right**: From the hollow circle at \(-4\), draw an arrow that extends to the right to indicate that all values greater than \(-4\) are included in the solution.
The final representation will clearly show that the inequality is satisfied for any number greater than \(-4\), but not for \(-4\) itself.
Here’s a text representation of the number line:
```
<---|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|--->
... -5 -4 -3 -2 -1 0 1 2 3 4 ...
⭕----------------------------->
```
In this representation, the hollow circle (⭕) at \(-4\) indicates that \(-4\) is not included in the solution, while the arrow extending to the right indicates all numbers greater than \(-4\) are included.