Question

let ={1,2,3,4,5}B={7,6,10} R=(1,7)(2,6)(3,10)(4,7)is a relation from A×B find
(1) R^-1
(2) Doman of R^-1 and R
(3)Range of R^-1 and R​

Answer 1

Answer:

A={1,2,3,4,6}

R={(a,b):a,b∈A,b is exactly divisible by a}

(i) R={(1,1),(1,2),(1,3),(1,4),(1,6),(2,2),(2,4),(2,6),(3,3),(3,6),(4,4),(6,6)}

(ii) Domain of R={1,2,3,4,6}

(iii) Range of R={1,2,3,4,6}

Step-by-step explanation:

A={1,2,3,4,6}

R={(a,b):a,b∈A,b is exactly divisible by a}

(i) R={(1,1),(1,2),(1,3),(1,4),(1,6),(2,2),(2,4),(2,6),(3,3),(3,6),(4,4),(6,6)}

(ii) Domain of R={1,2,3,4,6}

(iii) Range of R={1,2,3,4,6}