What is the correct way to notate the shaded
region indicated by this Venn Diagram?

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onyebuchinnaji onyebuchinnaji · Answer 1 · 2021-09-16T21:05:01+02:00

The correct notation will be A∪B and it can be read as A union B

In the given Venn diagram we can deduce the following;

U: this is the universal set, it comprises all the elements in set A and set B, as well as the compliments of set A and set B.

A∩B: this includes the elements in common for both set A and set B. This is often read as A intersect B.

A∪B: this include all the elements contained in both set A and set B. This often read as A union B.

The shaded region in the Venn diagram includes all the elements in set A and all the elements in set B.

Thus, the correct notation will be A∪B and it can be read as A union B.

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facundo3141592 facundo3141592 · Answer 2 · 2021-09-16T23:58:03+02:00

A Venn Diagram is a diagram used to define sets.

Here we will find that the notation of the shaded region is: A ∪ B

To know this, we need to define all of the notations in the options:

A ∩ B: This is the intersection of sets A and B, so this is the set of the elements that belong to both sets.
A ∪ B: This is the set of all the elements that belong to either A or B (or both)
A ⊂ B: This means that set A is included in B
¬A (or a set with a line on top): Represents the set of all the elements that do not belong to A.

So with these general notations, is easy to conclude that if we have shaded sets A and B completely, then we have the set: A ∪ B

The correct option is C.

If you want to learn more about sets, you can read:

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