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Shaybay92
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My lecturer used a symbol in class that represents an element being removed from a set to form a new set. Does anyone know what this symbol is?
HallsofIvy said:The "\" crossing out a figure meaning it has been removed- erased if you like.
Often, you will see something like "^" directly over a symbol to mean it has been removed.
The symbol for removing an element from a set is a backward slash (\) followed by the element to be removed. For example, if we want to remove the element "x" from the set A, we would write A\{x}.
This symbol is different from the subtraction sign because it specifically indicates removing an element from a set, while the subtraction sign is used for mathematical operations.
Yes, this symbol can be used for any type of set, including numerical sets, sets of objects, and sets of characters.
If we try to remove an element that is not in the set, the set remains unchanged. The symbol only removes the specified element if it is present in the set.
Yes, there is an alternate symbol for removing an element from a set which is the "set difference" symbol (∖). This symbol is similar to the backward slash symbol but is more commonly used in mathematical notation.