(2,∞)
In mathematics, (2, ∞) represents an interval on the real number line
In mathematics, (2, ∞) represents an interval on the real number line. This interval starts at the number 2 but does not include 2 itself, and extends towards positive infinity, meaning it continues indefinitely in the positive direction.
To visualize this interval on a number line, imagine a line with zero at the center, and numbers increasing to the right. The interval (2, ∞) would be represented by an open circle at 2, indicating that 2 is not included, and an arrow pointing towards the positive end of the number line, indicating that the interval continues indefinitely in that direction.
In set notation, (2, ∞) can also be written as {x | x > 2}, which means “the set of all x such that x is greater than 2”. This notation indicates that any number greater than 2 would be included in this interval.
In summary, the interval (2, ∞) represents all real numbers greater than 2 but not including 2 itself.
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