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Venn Diagram Definition:

A Venn diagram (likewise called a set graph or logic diagram) is an outline that demonstrates all conceivable coherent relations between a limited collections of various sets.

Venn Diagram Explanation:

  • Ordinarily covering shapes, generally circles, are utilized, and a zone relative or scaled Venn chart is one in which the territory of the shape is corresponding to the quantity of components it contains.
     
  • These charts speak to components as focuses in the plane, and sets as locales inside bends.
     
  • A Venn chart is developed with an accumulation of basic shut bends attracted a plane. Venn charts typically involve covering circles. The inside of the circle typically speaks to the components of the set, while the outside speaks to components that are not individuals from the set.
     
  • For example, in a two-set Venn outline, one circle may speak to the gathering of every single wooden protest, while another circle may speak to the arrangement of all tables. The covering locale or crossing point would then speak to the arrangement of every wooden table. Shapes other than circles can be utilized as appeared beneath by Venn's own particular higher set outlines. Venn graphs don't for the most part contain data on the relative or supreme sizes (cardinality) of sets; i.e. they are schematic charts.

Venn Diagram Example:

                                                               Venn-diagram

  • This illustration includes two sets, A and B, spoke to here as hued circles. The orange circle, set A, speaks to every single living animal that are two-legged. The blue circle, set B, speaks to the living animals that can fly. Every different kind of animal can be envisioned as a point some place in the graph. Living animals that both can fly and have two legs—for instance, parrots—are then in both sets, so they compare to focuses in the area where the blue and orange circles cover. That district contains all such and just such living animals.
     
  • People and penguins are bipedal, as are then in the orange hover, yet since they can't fly they show up in the left part of the orange circle, where it doesn't cover with the blue circle. Mosquitoes have six legs, and fly, so the point for mosquitoes is in the part of the blue circle that does not cover with the orange one. Animals that are not two-legged and can't fly (for instance, whales and creepy crawlies) would all be spoken to by focuses outside both circles.
     
  • The consolidated district of sets A and B is known as the union of A and B, signified by A ∪ B. The union for this situation contains every living animal that are either two-legged or that can fly (or both).
     
  • The area in both A and B, where the two sets cover, is known as the convergence of A and B, meant by A ∩ B. For instance, the convergence of the two sets is not void, in light of the fact that there are focuses that speak to animals that are in both the orange and blue circles.

Venn Diagram Problem:

 Find the LCM of 14 and 36 using a Venn diagram.
   
    SOLOUTION:
    
    Step 1: 14 = 2 ' 7
    36 = 2 ' 2 ' 3 ' 3 [Write the prime factors of 14 and 36.]
    Step 2: Represent all the prime factors of 14 and 36 in a Venn diagram
    Step 3: 7 ' 2 ' 3 ' 3 ' 2 = 252 [Multiply all the factors in the Venn diagram.]
    Step 4: The LCM of 14 and 36 is 252.

Venn Diagram Worksheet:
   
You can find Venn diagram worksheet on following link:       

https://icsemath.com/category/icse-class-8/venn-diagrams/

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