Shaded region in terms of set notation

MHB
Thread starter mathlearn
Start date Oct 3, 2016
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Notation Set Set notation Terms

In summary, a shaded region in terms of set notation refers to a portion of a set or Venn diagram that is visually represented by a shaded area. It is represented in set notation using set-builder notation and it represents the elements that satisfy a specific condition or rule in a set. To read a shaded region in set notation, one must identify the elements included in the set and the condition or rule that defines those elements. The purpose of representing a shaded region in set notation is to visually and symbolically represent subsets or intersections of sets.

Oct 3, 2016

mathlearn

View attachment 6053

I'm having trouble in expressing the shaded region in set notation (Thinking)

Many Thanks :)

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Oct 4, 2016

caffeinemachine

Gold Member

MHB

mathlearn said:

I'm having trouble in expressing the shaded region in set notation (Thinking)

Many Thanks :)

It's the things which are in $B$ but not in $A$. So it is $B-A$.

Oct 4, 2016

soroban

An equivalent statement: [tex]B \cap A'[/tex]

Related to Shaded region in terms of set notation

1. What is a "shaded region" in terms of set notation?

A shaded region in terms of set notation refers to a portion of a set or Venn diagram that is visually represented by a shaded area. It indicates a specific subset or intersection of sets that satisfy a particular condition.

2. How is a shaded region represented in set notation?

A shaded region is represented in set notation using set-builder notation, which includes a set of elements and a condition or rule that defines the elements within the set. The shaded region is typically enclosed in braces {} and the condition is written after a vertical bar |.

3. What does the shaded region represent in a Venn diagram?

The shaded region in a Venn diagram represents the elements that are included in both sets, or the intersection of the two sets. It can also represent the elements that satisfy a specific condition or rule in a set.

4. How do you read a shaded region in set notation?

To read a shaded region in set notation, start by identifying the elements included in the set. Then, read the condition or rule after the vertical bar | to determine which elements satisfy that condition and are therefore included in the shaded region.

5. What is the purpose of representing a shaded region in set notation?

The purpose of representing a shaded region in set notation is to visually and symbolically represent subsets or intersections of sets. It allows for a clearer understanding of the relationships between sets and the elements that satisfy certain conditions within those sets.