Question

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.

Answer 1

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Answer 2

To draw a Venn diagram representing the sets U, A, and B, follow the steps below.

How to draw a Venn diagram

To draw a Venn diagram representing the sets U, A, and B, use two overlapping circles.

One circle represents set A, containing all natural numbers less than 6, and the other circle represents set B, containing all natural numbers greater than 4.

Here is a description of the Venn diagram:

U: {1, 2, 3, 4, 5, 6, 7, 8, 9}

A: {1, 2, 3, 4, 5}

B: {5, 6, 7, 8, 9}

Now list the elements of union (A ∪ B), and their intersection (A ∩ B):

Union (A ∪ B): {1, 2, 3, 4, 5, 6, 7, 8, 9} (all elements from both sets, without repetition)

Intersection (A ∩ B): {5} (the common element between both sets)