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c. Is Upper A intersect Upper B overbarequalsUpper A overbar intersect Upper B overbar true for all sets A and B? Select the correct choice
c. Is Upper A intersect Upper B overbarequalsUpper A overbar intersect Upper B overbar true for all sets A and B? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. A. Yes, it is true for all sets A and B. B. No, it is not true for all sets A and B. As a counterexample, let the universal set be Uequals{a,b,c}, and let Aequals{a} and Bequals{b}. In this case, Upper A intersect Upper B overbarequalsStartSet a EndSet but Upper A overbar intersect Upper B overbarequalsStartSet b comma c EndSet . It follows that Upper A intersect Upper B overbarnot equalsUpper A overbar intersect Upper B overbar. (Use a comma to separate answers as needed.) C. No, it is not true for all sets A and B. As a counterexample, let the universal set be Uequals{a,b,c}, and let Aequals{a} and Bequals{a}. In this case, Upper A intersect Upper B overbarequalsStartSet nothing EndSet but Upper A overbar intersect Upper B overbarequalsStartSet nothing EndSet . It follows that Upper A intersect Upper B overbarnot equalsUpper A overbar intersect Upper B overbar. (Use a comma to separate answers as needed.) D. No, it is not
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