1.

Let U be the set of all boys and girls in a school, G be the set of all girls in theschool, B be the set of all boys in the school, and S be the set of all students in theschool who take swimming. Some, but not all, students in the school takeswimming. Draw a Venn diagram showing one of the possible interrelationshipamong sets U, G, B and S.12. For all sets A, B and C, show that (A – B) n (C – B) = A – (B . C)

Answer» Let U be the set of all boys and girls in a school, G be the set of all girls in the
school, B be the set of all boys in the school, and S be the set of all students in the
school who take swimming. Some, but not all, students in the school take
swimming. Draw a Venn diagram showing one of the possible interrelationship
among sets U, G, B and S.
12. For all sets A, B and C, show that (A – B) n (C – B) = A – (B . C)


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