Interval notation for ALL REAL NUMBERS
In mathematics, interval notation is a way to represent sets of numbers within a specified range
In mathematics, interval notation is a way to represent sets of numbers within a specified range. When we want to represent all real numbers, we use the interval notation (-∞, ∞).
This notation consists of two symbols: “(” and “)”, which signify that the range does not include the endpoints. The symbol “∞” represents infinity, which means the range continues indefinitely in either direction. The combination of (-∞, ∞) is used to represent all real numbers.
To give you some examples of how interval notation is used:
1. The interval (3, 7) represents all real numbers between 3 and 7, excluding both 3 and 7.
2. The interval (-2, 5] represents all real numbers greater than -2 and less than or equal to 5, including -2 but not 5.
3. The interval [-∞, 10) represents all real numbers less than or equal to 10, including -∞ (negative infinity) but not 10.
4. The interval (-∞, ∞) represents all real numbers.
Remember that interval notation is a concise way to represent sets of numbers in mathematics, and (-∞, ∞) specifically represents the set of all real numbers.
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