Understanding Open Intervals in Mathematics | (-10, ∞)

(-10, ∞)

(-10, ∞) represents an open interval in mathematics

(-10, ∞) represents an open interval in mathematics. An interval is a range of numbers, and an open interval denotes that the first number (-10) is not included, while the second number (∞), representing infinity, is included.

To make it clearer, consider a number line. In this case, the interval (-10, ∞) starts to the right of -10 and extends infinitely towards the right. It includes all numbers greater than -10 but does not include -10 itself.

For example, the numbers 0, 5, and 1000 are all included in this interval since they are greater than -10. However, -10 is not part of the interval.

Mathematically, you can represent an open interval (-10, ∞) using set notation as {x : x > -10}, which reads as “the set of all x such that x is greater than -10.”

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