Complement Symbol, also known as the 'not' symbol, is a mathematical symbol that represents the set of all elements that are not included in a given set. In set theory, the complement of a set A is denoted by A with a bar on top, which is read as 'A complement' or 'not A'.
To read the complement symbol in English, we first read the name of the set, followed by the word 'complement' or 'not', and then the name of the set again. For example, if we have a set A, the complement of A would be read as 'the complement of A' or 'not A'.
It is important to note that the complement symbol does not always have to be written with a bar on top of the set. In some cases, it may be represented by a different symbol, such as a tilde (~) or an apostrophe ('). However, the reading of the symbol remains the same.
Using the complement symbol can be useful in many areas of mathematics, such as probability theory, set theory, and logic. For example, if we want to find the probability of an event not occurring, we can use the complement rule to subtract the probability of the event from one.
In conclusion, the complement symbol in set theory is read as 'A complement' or 'not A' in English. It is a powerful tool in mathematics that can help us solve problems in various fields.