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hello and welcome back to the next mathematical symbol which is the subset symbol for denoting such as subset relation you either see this symbol or that personally I prefer this notation because the line here immediately tells you that the quality of sets is also allowed here however some authors take the simple Arc here maybe because itamp;#39;s shorter therefore please always pay attention which symbol is used in a given book itamp;#39;s very important because often thereamp;#39;s also notation which is used to denote a proper subset this means there the equality is actually not allowed hence if we use the first notation here we can do the same if we denote inequalities so you see if we want to denote a proper subset we can just omit the line here so unfortunately this is the same symbol some people use to denote a general subset however this also means that these people need another annotation for the proper subset and usually they use the first symbol where they just crossed th