Question

determinati multimile A si B stiind ca sunt indeolinite urmatosrele conditii simultan.a)AuB=(1,2,3,4,5,,6,7,8) b)A/(Aintersectat B)=(1,2) c)B/(AintersectatB)=(7,8)

Answer 1

a)A∪B={1,2,3,4,5,6,7,8}

b)A/(A∩B)={1,2}

c)B/(A∩B)={7,8}

A/(A∩B)=A/B={1,2}

B/(A∩B)=B/A={7,8}

=> A∩B={3,4,5,6}

A={1,2,3,4,5,6}

B={3,4,5,6,7,8}