2.5 Refer to Exercise 2.4. Use the identities A = A â© S and S = B âȘ B and a distributive law to prove that a A=(Aâ©B)âȘ(Aâ©B). b IfBâAthenA=BâȘ(Aâ©B). c Further, show that ( A â© B ) and ( A â© B ) are mutually exclusive and therefore that A is the union of two mutually exclusive sets, (A â© B) and (A â© B). d AlsoshowthatBand(Aâ©B)aremutuallyexclusiveandifBâA,Aistheunionoftwo mutually exclusive sets, B and (A â© B)
