Math, asked by Farhanaaj9804, 1 year ago

If a={1,2,3} and b={1,4,6,9} and r is a relation from a to b defined by x is greater than y,then the range of r is

Answers

Answered by pulakmath007
25

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GIVEN

 \sf{A =   \{ 1, 2,3 \}  \:  \: and \:  \: B=  \{1,4,6,9 \}}

A Relation R from A to B is defined by

 \sf{ R =  \{ \: (x, y) : x  > y  \: \} \: }

Here

 \sf{2  \: >  1 \:  \:  \:  implies \:  \:  \:  (2,1) \in \:  R \: }

 \sf{3  \: >  1 \:  \:  \:  implies \:  \:  \:  (3,1) \in \:  R \: }

Therefore

 \sf{R =  \{  \: (2,1), (3,1)  \: \}}

 \sf{Hence  \: the  \: Range \:  of \:  \:  R = \{1 \}}

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Given set A = {1, 2, 3... 10}

Relation R is defined in set A as

R = {(a, b) A×A: a = 2b}

Then range of relation R is

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Answered by sashigarabudi
0

Answer:

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