Which inequality could have solutions both greater than and less than 37?(1 point)
Responses
x>37
x greater than 37
x≠37
x not equal to 37
x≥37
x greater-than-or-equal-to 37
x<37
The inequality that could have solutions both greater than and less than 37 is x ≠ 37.
The inequality that could have solutions both greater than and less than 37 is "x ≠ 37" or "x not equal to 37".
To understand why this is the correct answer, let's break down the other options:
- "x > 37" means that x must be greater than 37. If x can only be greater than 37, then it cannot be less than 37.
- "x ≥ 37" means that x must be greater than or equal to 37. If x can be equal to 37, then it cannot be less than 37.
- "x < 37" means that x must be less than 37. If x can only be less than 37, then it cannot be greater than 37.
On the other hand, "x ≠ 37" means that x can take any value except for 37. This means that x can be both greater than and less than 37, making it the correct option.