If A is the set of 4-digit multiples of 2, B is the set of 4-digit multiples of 5, and U is the set of all 4-digit numbers, express using union, intersection, and complement notation:

a: Set C of 4-digit multiples of both 2 and 5
A) C=U\(A∪B)
B) C=(A∪B)∩U
C) C=(A∩B)∩U
D) C=A∪(B∩U)

b. Set D of 4-digit multiples of at least one of 2 or 5
A) D=U\(A∪B)
B) D=(A∪B)∩U
C) D=(A∩B)∩U
D) D=U\(A∩B)

c. Set E of 4-digit numbers that are neither multiples of 2 nor multiples of 5?
A) E=U\(A∪B)
B) E=U\(A∩B)
C) E=U∩(A\B)
D) E=A∩B∩U

Respuesta :

The set can be expressed as follows:

a. For set C of 4-digit multiples (C). C=(A∩B)∩U

b. For Set D of 4-digit multiples (B). D=(A∪B)∩U

c. For Set E of 4-digit numbers (A). E=U\(A∪B)

Meaning of Set

A set is an array of numbers, elements, numbers, shapes, items etc that fit into a particular description.

Set is a very important topic and it helps us find a way to arrange elements into their specified fields.

In conclusion, the above listed set elements are the required answers to the specified set problem

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