Question
Which inequality could have solutions both greater than and less than 37? Responses x≠37 x is not equal to 37 - no response given x<37 x<37 - no response given x>37 x is greater than 37 - no response given x≥37 x is greater than or equal to 37 - no response given
Answers
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GPT-4o mini
To find an inequality that could have solutions both greater than and less than 37, we need to consider inequalities that include a range of values on both sides of 37.
1. **x ≠ 37**: This means x can be any number except 37, which includes values both greater and less than 37. This inequality works.
2. **x < 37**: This only includes values less than 37, so it doesn’t satisfy the requirement.
3. **x > 37**: This only includes values greater than 37, so it also doesn’t satisfy the requirement.
4. **x ≥ 37**: This only includes values greater than or equal to 37, so it doesn’t satisfy the requirement.
Among the options given, **x ≠ 37** is the only inequality that allows for solutions both greater than and less than 37.
1. **x ≠ 37**: This means x can be any number except 37, which includes values both greater and less than 37. This inequality works.
2. **x < 37**: This only includes values less than 37, so it doesn’t satisfy the requirement.
3. **x > 37**: This only includes values greater than 37, so it also doesn’t satisfy the requirement.
4. **x ≥ 37**: This only includes values greater than or equal to 37, so it doesn’t satisfy the requirement.
Among the options given, **x ≠ 37** is the only inequality that allows for solutions both greater than and less than 37.
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