Question
Given the graph of a system of equations, which statements are true about the solution? Check the three that apply.
(3 points)
Responses
The x- and y-values have the same sign.
The x- and y-values have the same sign.
The x-value is an integer.
The x-value is an integer.
The x-value is positive.
The x-value is positive.
The y-value is between -2 and -1.
The y-value is between -2 and -1.
The x-value is between 3 and 4.
(3 points)
Responses
The x- and y-values have the same sign.
The x- and y-values have the same sign.
The x-value is an integer.
The x-value is an integer.
The x-value is positive.
The x-value is positive.
The y-value is between -2 and -1.
The y-value is between -2 and -1.
The x-value is between 3 and 4.
Answers
GPT-4o mini
To determine which statements are true about the solution based on the graph of a system of equations, we would typically need to look at the intersection point of the two equations graphically. Since I can't see the graph, I’ll guide you on how to evaluate each statement:
1. **The x- and y-values have the same sign.**
- Check if both the x and y coordinates of the intersection point are either positive or negative.
2. **The x-value is an integer.**
- Look at the x-coordinate of the intersection point. If it's a whole number, this statement is true.
3. **The x-value is positive.**
- See if the x-coordinate is greater than 0. If it is, this statement is true.
4. **The y-value is between -2 and -1.**
- Evaluate the y-coordinate of the intersection point. If it falls within that range, then this statement is true.
5. **The x-value is between 3 and 4.**
- Look at the x-coordinate again and see if it lies within the range of 3 to 4 (exclusive).
Check each of these based on the intersection point from your graph, and select three that apply. If you can provide specific details about the point(s) on the graph, I could help you more accurately identify the true statements.
1. **The x- and y-values have the same sign.**
- Check if both the x and y coordinates of the intersection point are either positive or negative.
2. **The x-value is an integer.**
- Look at the x-coordinate of the intersection point. If it's a whole number, this statement is true.
3. **The x-value is positive.**
- See if the x-coordinate is greater than 0. If it is, this statement is true.
4. **The y-value is between -2 and -1.**
- Evaluate the y-coordinate of the intersection point. If it falls within that range, then this statement is true.
5. **The x-value is between 3 and 4.**
- Look at the x-coordinate again and see if it lies within the range of 3 to 4 (exclusive).
Check each of these based on the intersection point from your graph, and select three that apply. If you can provide specific details about the point(s) on the graph, I could help you more accurately identify the true statements.