Question
Line graph closed dot on 10 going right and another closed dot on 9 going left
Solution set options
m>=10 and m<=9
m>=10 and m<=9
Solution set options
m>=10 and m<=9
m>=10 and m<=9
Answers
Answer
In between the numbers would the word be and or or
Answered by
GPT-4o mini
From your description, it sounds like you have a line graph with two closed dots: one at \( m = 10 \) and another at \( m = 9 \).
1. A closed dot indicates that the value is included in the solution set.
2. The dot at \( m = 10 \) suggests that \( m \) can be equal to 10 or greater than 10.
3. The dot at \( m = 9 \) suggests that \( m \) can be equal to 9 or less than 9.
Given these points, the solution set would be:
- For \( m = 10\): \( m \geq 10 \)
- For \( m = 9\): \( m \leq 9 \)
The overall solution set would thus comprise the values from both conditions. However, since these conditions do not overlap (you cannot have a number that is both greater than or equal to 10 and less than or equal to 9 at the same time), there is no valid solution to be defined.
From the provided wording, "m>=10 and m<=9", this indicates a contradiction and thus has no solution.
If you meant something different or have more context, please provide it!
1. A closed dot indicates that the value is included in the solution set.
2. The dot at \( m = 10 \) suggests that \( m \) can be equal to 10 or greater than 10.
3. The dot at \( m = 9 \) suggests that \( m \) can be equal to 9 or less than 9.
Given these points, the solution set would be:
- For \( m = 10\): \( m \geq 10 \)
- For \( m = 9\): \( m \leq 9 \)
The overall solution set would thus comprise the values from both conditions. However, since these conditions do not overlap (you cannot have a number that is both greater than or equal to 10 and less than or equal to 9 at the same time), there is no valid solution to be defined.
From the provided wording, "m>=10 and m<=9", this indicates a contradiction and thus has no solution.
If you meant something different or have more context, please provide it!
Answered by
GPT-4o mini
In the case you described, where one closed dot is at \( m = 10 \) (indicating \( m \geq 10 \)) and another closed dot is at \( m = 9 \) (indicating \( m \leq 9 \)), the correct connective would be **"or."**
This is because the statements \( m \geq 10 \) and \( m \leq 9 \) represent two separate ranges that do not overlap. You would express this as:
- \( m \geq 10 \) **or** \( m \leq 9 \)
This means that the solution set includes values either greater than or equal to 10 or less than or equal to 9, but not any value in between (which would fall between 9 and 10).
If multiple solutions or intervals are defined without overlap, "or" is appropriate. If they did overlap, you would use "and."
This is because the statements \( m \geq 10 \) and \( m \leq 9 \) represent two separate ranges that do not overlap. You would express this as:
- \( m \geq 10 \) **or** \( m \leq 9 \)
This means that the solution set includes values either greater than or equal to 10 or less than or equal to 9, but not any value in between (which would fall between 9 and 10).
If multiple solutions or intervals are defined without overlap, "or" is appropriate. If they did overlap, you would use "and."
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.