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Investigate the following theorems (h) For sets A, B and C we have i. A(B ? C)...

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Advance Math

Investigate the following theorems

(h) For sets A, B and C we have

i. A(B ? C) = (AB) ? (AC),

ii. A(B ? C) = (AB) ? (AC),

iii. A ?= B if and only if (AB) ? (BA) ?= ?,

iv. A ? B ? C if and only if A ? C and B ? C.

What happens in the extreme case(s) where some (or all) sets areempty?

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