A Consider The Set S Of All Possible Subsets Of R 2 Union And Intersection Are Both Binary Operations On S And

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( )
Let E be the identity element.
AnE = A and AUE = A, for all
Subset A SIR?
gt; E = empty set.
b )
x, 4 E AnB amp; Aand B are convex sets
da+ (1- 1) y E A and Ax+ (1-2) 4 EB
Ax+ ( 1-…Math