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Define a relation R on the set N of natu...

Define a relation R on the set N of natural numbers by `R" "=" "{(x ," "y)" ":" "y" "=" "x" "+" "5` , x is a natural number less than 4; x, `y in N` }. Depict this relationship using roster form. Write down the domain and the range.

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The correct Answer is:
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`x lt 4 and x inNimpliesx=1,2,3`
`{:("Now",y=x+5),(at,x=1","y=1+5=6),(at,x=2","y=2+5=7),(at,x=3","y=3+5=8),(therefore,R={(1","6)","(2","7)","(3","8)}):}`
`{:("Domain",=,{1,2,3]),("Range",=,{6,7,8}):}`
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