Shaded region in terms of set notation

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.
  • #1
mathlearn
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I'm having trouble in expressing the shaded region in set notation (Thinking)

Many Thanks :)
 

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  • #2
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 $B-A$.
 
  • #3


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

FAQ: Shaded region in terms of set notation

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.

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 |.

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.

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.

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.

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