# What is an open interval?

An open interval is a set of real numbers between two specified values, where the endpoints are not included in the interval. It is denoted by (a, b), where a and b are the two values defining the interval.

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When we want to talk about all the Real numbers we may write:

The amalgamation of these two sets is called the union and is denoted:

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An open interval in mathematics is a range of real numbers that does not include its endpoints. It is denoted by parentheses, such as ( (a, b) ), where ( a ) and ( b ) are the endpoints of the interval. The numbers between ( a ) and ( b ), excluding ( a ) and ( b ) themselves, are considered part of the open interval.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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- How do you simplify #(x^2-2x-8)/(x^2+3x-4)#?
- What is the least common multiple for #\frac{x}{x-2}+\frac{x}{x+3}=\frac{1}{x^2+x-6}# and how do you solve the equations?

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