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Question Number 191731 by Spillover last updated on 29/Apr/23
Uselawsofalgebratoprovethefollowing(a)[(B−A)u(A−B)]=[(AuB)−(AnB)](b)A▽(AnB)=A−B
Answered by deleteduser1 last updated on 29/Apr/23
(a)B−A=B∩A′andA−B=A∩B′(B−A)∪(A−B)=(B∩A′)∪(A∩B′)={(B∩A′)∪A}∩{(B∩A′)∪B′}={(A∪B)∩(A∪A′)}∩{(B′∪B)∩(B′∪A′)}=(A∪B)∩(A∩B)′=(A∪B)−(A∩B)
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