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Convert inequalities into interval notations step by step
Frequently Asked Questions (FAQ)
What are the types of interval notation?
There are two types of interval notation: closed interval notation and open interval notation.
What is a closed interval notation?
A closed interval notation is a way of representing a set of numbers that includes all the numbers in the interval between two given numbers. In this notation, the numbers at the endpoints of the interval are included in the set. The notation for a closed interval is typically of the form [a,b], where a and b are the endpoints of the interval.
What is an open interval notation?
An open interval notation is a way of representing a set of numbers that includes all the numbers in the interval between two given numbers, but does not include the numbers at the endpoints of the interval. The notation for an open interval is typically of the form (a,b), where a and b are the endpoints of the interval.
What does ∩ mean in interval notation?
In interval notation, the symbol ∩ is used to represent the intersection of two intervals. The intersection of two intervals is the set of all values that are common to both intervals.
How do you find interval notation?
To find interval notation for a set of numbers, identify the minimum and maximum values of the set, and then use the appropriate symbols to represent the set. To express a set of numbers that includes both the minimum and maximum values, use square brackets [ ] for the endpoints of the set. To express a set of numbers that does not include the minimum or maximum values, use parentheses ( ) for the endpoints of the set.
What is interval notation?
Interval notation is a way to represent a set of real numbers on the number line. It consists of two numbers separated by a comma, and the numbers are enclosed in either parentheses or square brackets.