Hi Priyanshu, hope this helps. Venn diagrams take time to master, you have to learn to do quick trial and error. Step 1: Identify the Given ValuesTotal Vehicles: 500Vehicles conforming to Sulphur or Hydrocarbons (S ∪ H): 220Vehicles conforming to Hydrocarbons or Nitrogen Oxide (H ∪ N): 240Vehicles conforming to Nitrogen Oxide or Sulphur (N ∪ S): 210Vehicles conforming to exactly one pollutant: 170Step 2: Define SetsLet's denote:A = Number of vehicles conforming to Sulphur.B = Number of vehicles conforming to Hydrocarbons.C = Number of vehicles conforming to Nitrogen Oxide.We need to determine the number of vehicles in each intersection, such as A∩B, B∩C, C∩A, and A∩B∩C.Step 3: Calculate the Required ValuesWe know:∣A∪B∣=∣A∣+∣B∣−∣A∩B∣=220∣B∪C∣=∣B∣+∣C∣−∣B∩C∣=240∣C∪A∣=∣C∣+∣A∣−∣C∩A∣=210∣A∪B∪C∣=∣A∣+∣B∣+∣C∣−(∣A∩B∣+∣B∩C∣+∣C∩A∣)+∣A∩B∩C∣Given the exact number of vehicles conforming to one pollutant, we can now use these equations to calculate the sets.Step 4: Create the Venn DiagramWe can now visualize the relationships using the Venn diagram. This Venn diagram visually represents how the vehicles conform to the emission levels of the different pollutantsHere's the Venn diagram based on the given data:70 vehicles conformed only to the emission levels of Sulphur.60 vehicles conformed only to the emission levels of Hydrocarbons.40 vehicles conformed only to the emission levels of Nitrogen Oxide.50 vehicles conformed to both Sulphur and Hydrocarbons.60 vehicles conformed to both Hydrocarbons and Nitrogen Oxide.40 vehicles conformed to both Nitrogen Oxide and Sulphur.30 vehicles conformed to all three pollutants (Sulphur, Hydrocarbons, and Nitrogen Oxide).

how will i get all the values of venn image.png 30.84 KB

how will i get all the values of venn image.png 30.84 KB