(i) If A is subset ofC and B is subset of C, then show that AUB is subset of C.
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Let A is a subset of B and B is a subset of C.
Then there is an x in B such that, for every x in B,x is in C and there exists an x in A such that, for every x in A,x is in B. Thus, for every x in A,x is also in C, and thus A is a subset of C.
Hence proved.
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