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If U is the set of all natural numbers less than 10, A is its subset containing all natural numbers less than 6 and B⊂U consists of all natural numbers greater than 4 (and of course smaller than 10), draw Venn diagram showing these sets. List elements of sets A, B, their union, and their intersection.

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Step-by-step explanation:

U would be {0,1,2,3,4,5,6,7,8,9}

A would be {0,1,2,3,4,5}

and B would be {5,6,7,8,9}

The union would be {0,1,2,3,4,5,6,7,8,9}

And their intersection {5}

The elements of sets are A = { 1,2,3,4,5 }, B = { 5,6,7,8,9,10 },                          A ∪ B = { 1,2,3,4,5,6,7,8,9,10} and A ∩ B = { 5 }.

What is a set?

"A set is a collection of objects. The objects are called the elements of the set. If a set has finitely many elements, it is a finite set, otherwise it is an infinite set".

For the given situaton,

Union set U = { 1,2,3,4,5,6,7,8,9,10 }

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

Set B = { 5,6,7,8,9,10 }

Union of sets A and B is [tex]A[/tex] ∪ [tex]B[/tex] = { 1,2,3,4,5,6,7,8,9,10}

Intersection of sets A and B is [tex]A[/tex] ∩ [tex]B[/tex] = { 5 }

The venn diagram below shows the sets U, A and B.

Hence we can conclude that the elements of sets A, B, A ∪ B, A ∩ B are listed.

Learn more about sets here

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