What is difference in proper subsets and Subset
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The set SS is a subset of the set TT if every element of SS is also an element of TT. It's a proper subset if it's a subset but not equal to TT. That implies there's at least one element of TT that is not an element of SS.
It's best if notations correspond throughout mathematics.
The notation x≤yx≤y means xx is less than or equal to yy, while the notation x<yx<y means that xx is less than yy but not equal to yy.
To correspond to that well-understood notation, we should use S⊆TS⊆T to denote that the set SS is a subset or equal to TT, while S⊂TS⊂T for SS is a subset of TT but not equal to TT, that is, SS is a proper subset of TT.
Unfortunately, that convention isn't always followed. When you're reading a new textbook that uses set notation, check to see what notation it uses.
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The set SS is a subset of the set TT if every element of SS is also an element of TT. It's a proper subset if it's a subset but not equal to TT. That implies there's at least one element of TT that is not an element of SS.
It's best if notations correspond throughout mathematics.
The notation x≤yx≤y means xx is less than or equal to yy, while the notation x<yx<y means that xx is less than yy but not equal to yy.
To correspond to that well-understood notation, we should use S⊆TS⊆T to denote that the set SS is a subset or equal to TT, while S⊂TS⊂T for SS is a subset of TT but not equal to TT, that is, SS is a proper subset of TT.
Unfortunately, that convention isn't always followed. When you're reading a new textbook that uses set notation, check to see what notation it uses.
if u like my answer plzz mark as brainliest one....
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