U=(1,2,3,4,5,6,7,8,9,10)

Question

A=(2,3,4,5,9)
B=(2,6,8,10)
C=(2,6,10)
Find i)AuB ii) AnB iii)BuC iv) AnBnC v) AnBuC

Answer 1

i) A∪B :
To find the union of sets A and B, we combine all the elements from both sets without duplicating any elements.

A∪B = (2,3,4,5,9,6,8,10)

ii) A∩B :
To find the intersection of sets A and B, we determine which elements are common to both sets.

A∩B = (2)

iii) B∪C :
To find the union of sets B and C, we combine all the elements from both sets without duplicating any elements.

B∪C = (2,6,8,10)

iv) A∩B∩C :
To find the intersection of sets A, B, and C, we determine which elements are common to all three sets.

A∩B∩C = (2)

v) A∪B∪C :
To find the union of sets A, B, and C, we combine all the elements from all three sets without duplicating any elements.

A∪B∪C = (2,3,4,5,9,6,8,10)