lf A= {1, 2, 3, 4}, B={3, 4, 5, 6}, C={5, 6, 7, 8 } and D={ 7, 8, 9, 10 10}; find
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concept : if two sets A and B are given, then union of set A and B is written as . This is the set of all distinct elements that are in Both A or B. see figure, Venn diagram shown, represents that the of any two sets will give all the members of the two sets together, and not replicating the common member twice.
here, A= {1, 2, 3, 4}, B={3, 4, 5, 6}, C={5, 6, 7, 8 } and D={ 7, 8, 9, 10}
so, = {1 , 2, 3, 4} U {3, 4, 5, 6} U {7, 8, 9, 10}
= {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} .
here, A= {1, 2, 3, 4}, B={3, 4, 5, 6}, C={5, 6, 7, 8 } and D={ 7, 8, 9, 10}
so, = {1 , 2, 3, 4} U {3, 4, 5, 6} U {7, 8, 9, 10}
= {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} .
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Answer:
A U B U D = { 1,2,3,4,5,6,7,8,9,10 }
Step-by-step explanation:
Given A = { 1,2,3,4 }
B = { 3,4,5,6 }
C = { 5,6,7,8 }
D = { 7 ,8, 9,10 }
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We know that ,
If A ,B are two sets then
A U B = { x : x € A or x € B }
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AUBUD
= ( A U B ) U D
= ( { 1,2,3,4 } U { 3,4,5,6 } ) U D
= { 1,2,3,4,5,6 } U D
= { 1,2,3,4,5,6 } U { 7,8,9,10 }
= { 1,2,3,4,5,6,7,8,9,10 }
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