Q.3. Represent the following statements by Venn diagrams
(a) All poets are great artists.
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Step-by-step explanation:
All means whole circle and great artists means inside small circle.
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A will be a set which will be completely present in the set A.
- In a Venn diagram, circles are used to represent the connections between objects or small groups of objects. While circles that do not overlap do not have these characteristics, circles that overlap do.
- Venn diagrams make it easier to visualise the connections and discrepancies between two ideas. Their value as teaching resources has long been acknowledged. Venn diagrams have been incorporated into beginning logic curricula and primary school lesson plans all around the world since the middle of the 20th century.
- A Venn diagram can be arranged in a variety of ways, although overlapping circles are the most typical. A set, which could consist of thoughts, concepts, numbers, or objects, is represented by each circle on its own.
- When circles cross over or intersect, the shared subsets are referred to as a union or an intersection. A complement set is anything not shared by a specific set or subset, and areas that don't overlap highlight distinctions between sets.
Here, according to the given information, we are given that,
All poets are great artists.
Here, if U is the universal set and artists and poets are represented by A and P respectively, then,
A will be a set which will be completely present in the set A.
Hence, a diagram can be drawn accordingly.
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