Question

From the Venn diagram list all the elements in G U H in set notation

G={apple,orange,banana,grape,duruan,pear}
H={apple,banana,grape,strawberry}​

Answer 1

Answer: The Union of two sets will be all elements without duplicate elements. So G U H ={apple , orange , banana , grape , duruan ,pear , strawberry}

Explanation:

"U" is the union of two sets. The no of values in Union of two sets G , H

is G U H = G + H - (G ∩ H)

1. G set contains the elements are {apple ,orange ,banana ,grape ,duruan ,pear}.
2. H set contains the elements are apple ,banana, grape, strawberry.
3. G ∩ H the same elements between G, H. The Elements which are common are [apple ,banana ,grape}.
4. G + H are the elements in G,H with duplicates . The elements are {apple, orange, banana, grape, duruan, pear, apple, banana, grape, strawberry}.
5. Now removing duplicates are G + H - (G ∩ H) . So the elements are
6. {apple , orange , banana , grape , duruan ,pear , strawberry}.

To learn more about sets notation,