If A = {1, 2, 3, 4, 5} and R = {(x, y) | x + y = 5, x ∈ A, y ∈ A}, then write R in roster form.
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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}
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Step-by-step explanation:
A={1,2,3,4,5}
R={(x,y):xisafactor,y}
R={(1,2),(1,3),(1,4),(1,5),(2,2),(2,4)}
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