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An interval on a number line, consisting of the real numbers, contains an infinite amount of numbers. In the interval 1≤x≤4, all numbers between the x-values 1 and 4 are a part of the set. For example, 1, 2.7, 3.5, 3.61 and 4. An interval does not have to be limited between two ends. For example, the inequality x≥0 is a set of all positive real numbers larger than or equal to 0.
Interval notation is a way to denote an interval. In this notation, a square bracket [] is used when the end value is included and a round bracket () is used when the end value is not included.
The interval above can be described with an inequality where ≤ indicates that the end point is included and < that it is not.all numbers greater and equal to -1 and less than 2.More examples of intervals are provided below with interval notation along with number line and inequality representations.