Question: (a) Acup B=Bcup A (b) Acap Bcap C=Ccap Bcap A always true always true sometimes true sometimes true never true never true (c)
(a)
A\\\\cup B=B\\\\cup A\ (b)
A\\\\cap B\\\\cap C=C\\\\cap B\\\\cap A\ always true\ always true\ sometimes true\ sometimes true\ never true\ never true\ (c)
(A\\\\cap B)^(')=(B\\\\cap A)^(')\ (d)
A=A^(')\ always true\ sometimes true\ always true\ never true\ sometimes true\ never true\ (e)
A\\\\cup C=A\ (f)
A\\\\cup B=B\\\\cup C\ always true\ sometimes true\ always true\ never true\ sometimes true\ never true

(a) AB=BA (b) ABC=CBA always true sometimes true always true sometimes true never true never true (c) (AB)=(BA) (d) A=A always true sometimes true never true always true sometimes true never true (e) AC=A (f) AB=BC always true sometimes true always true never true sometimes true never true
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