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in Sets, Relations and Functions by (44.7k points)
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Let A = {3, 4, 5, 6} and R = {(a, b) : a, b ϵ A and a<b

(i) Write R in roster form. 

(ii) Find: dom (R) and range 

(R) (iii) Write R–1 in roster form

1 Answer

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Best answer

(i) R = {(3, 4), (3, 5), (3, 6), (4, 5), (4, 6), (5, 6)} 

(ii) The domain of R is the set of first co-ordinates of R 

Dom(R) = {3, 4, 5} 

The range of R is the set of second co-ordinates of R 

Range(R) = {4, 5, 6} 

(iii) R–1 = {(4, 3), (5, 3), (6, 3), (5, 4), (6, 4), (6, 5)}

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