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Closed Interval Meaning In Bengali

Closed Interval শব্দের বাংলা অর্থ কি: বদ্ধ ব্যবধান

Closed Interval

Definition

1) In mathematics, a closed interval is a set of real numbers that includes both its endpoints. It is typically denoted in interval notation as [a, b], where a and b are the endpoint values.
2) A closed interval represents a range of values in which both the starting and ending points are included. This is in contrast to an open interval, where the endpoints are excluded.
3) Geometrically, a closed interval can be visualized on a number line as a closed line segment that includes all the points between and including the two endpoint values.

Examples

Closed Interval Example in a sentence

1) In mathematics, a closed interval is denoted by square brackets, such as [a, b].

2) The function is continuous on the closed interval [0, 5].

3) The closed interval [1, 10] includes the endpoints 1 and 10.

4) The temperature remained constant within the closed interval [25, 30] degrees Celsius.

5) The closed interval [−3, 3] represents all real numbers between -3 and 3.

6) The closed interval [0, π] covers all values of theta from 0 to pi in trigonometry.

7) The function is defined on the closed interval [−5, 5].

8) The length of the closed interval [2, 8] is 6 units.

9) The roots of the quadratic equation lie within the closed interval [−2, 4].

10) The closed interval [100, 200] includes all integers from 100 to 200.

Synonyms

Encyclopedia

In mathematics, a closed interval is a set of real numbers that includes both its endpoints. It is typically denoted in interval notation as [a, b], where a and b are the endpoint values.
A closed interval represents a range of values in which both the starting and ending points are included. This is in contrast to an open interval, where the endpoints are excluded.
Geometrically, a closed interval can be visualized on a number line as a closed line segment that includes all the points between and including the two endpoint values.