In mathematical logic, two statements, X and Y, are true if and only if both X as well as Y are true. So if either X or Y (or both) are false then "X and Y" is a false statement. Similarly, if some conditions, S and T, need to be satisfied by a variable then S as well as T must be satisfied.
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what does key mean in math
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I do not know of such a word related to math(s)
There is no such math word, so it does not mean anything. You may wish to check your spelling before posting questions!