For any two sets A={12,10,8,6} and B={1,2,3,4,5,6}, select the correct representation for the relation T given as: T={(a,b):a∈A,b∈B,a−b=6}.
A
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B
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C
T={(12,6),(10,4),(8,2),(6,0)}
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D
T={(12,6),(10,4),(8,2)}
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Solution
The correct option is DT={(12,6),(10,4),(8,2)} Given two sets: A={12,10,8,6} and B={1,2,3,4,5,6}
Now, the relation T is given as: T={(a,b):a∈A,b∈B,a−b=6}
In roster form, we can write it as: T={(12,6),(10,4),(8,2)}
In venn diagram, we can represent this as:
And graphically, we can represent the same as: