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Let A, B and C be sets such that .Then which of the following statements is not true?
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Correct option is D
According to the question, we have the following Venn diagram. Here, A∩B⊆C and A∩B≠ϕNow, from the Venn diagram, it is clear thatB∩C≠ϕ is true,Also,(C∪A)∩(C∪B)=C∪(A∩B)=C is trueIf (A−B)⊆C for this statement the Venn diagram is From the Venn diagram, it is clear thatIf A−B⊆C, and A⊆CNow ,if (A−C)⊆B for this statement the Venn diagram. from the Venn diagram, it is clear thatA∩B≠ϕ,A∩B⊆C and A−C=ϕ⊆B but A⊈BSimilar Questions
A class has 175 students. The following data shows the number of students obtaining one or more subjects. Mathematics 100, Physics 70, Chemistry 40; Mathematics and Physics 30, Mathematics and Chemistry 28, Physics and Chemistry 23; Mathematics, Physics and Chemistry 18. How many students have offered Mathematics alone
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