Which one is correct?
"in the interval" or "on the interval"?

Question

Which one is correct?
"in the interval" or "on the interval"?

Use "in the interval" when talking about a specific period of time or a range of values. It indicates that something is contained within that time frame or range.

Examples:

The event will take place in the interval between 2 p.m. and 4 p.m.
The temperature should stay in the interval of 20 to 25 degrees Celsius.
The data falls in the interval of 10 to 20.
We need to complete the project in the interval of two weeks.
The concert will be held in the interval of July and August.

Alternatives:

during the interval
within the interval
inside the interval
over the interval
across the interval

Use "on the interval" when discussing mathematical intervals or ranges of values. It is used to indicate the set of numbers or values that fall within that range.

Examples:

The function is continuous on the interval [0, 1].
Find the maximum value of the function on the interval [−π, π].
The solution lies on the interval (−∞, 5].
The inequality is true on the interval (−2, 3).
The graph intersects the x-axis on the interval [−4, 2].

Alternatives:

over the interval
across the interval
for the interval
within the interval
throughout the interval

Both "in the interval" and "on the interval" are correct, but they are used in different contexts. "In the interval" is used when referring to a period of time or a range of values, while "on the interval" is used in mathematical contexts to specify a set of numbers or values.

Last Updated: March 19, 2024

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