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6.Prove each of the remaining identities in table 4.1 using an element argument. Table 4.1. Set Identities Here S,T,W are any sets; is the empy

6.Prove each of the remaining identities in table 4.1 using an element argument.

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Table 4.1. Set Identities Here S,T,W are any sets; is the empy set; and U is the universal set. Identity Su= S SnU = S Domination Sn = SUU = U Idempotent Laws SUS=S SnS = S Double Complement (S) = S Complement SnS = SUS U Commutative Law SUT=TUS ST=TOS Associative Law SU (TUW) = (SUT) UW SO ( TW) = ( ST) W De Morgan's Law SnT = SUT SUT = S T Absorption Su ( ST) = S Sn ( ST) = S = Distributive Law Su ( TW) = (S UT) n (SUW) SO ( TW) = ( ST) ( SW)

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