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J")Let A = {2,3,4,5,6,7,8,9). Let R be the relation on A defined byR={(x, y):x € A, YE A and x divides y}Find domain and range |
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Answer» Roster form of R = { (1,2) , (1,3) , (1,4) , (1,5) , (1,6) , (1,7) , (1,8) , (1,9) , (2,2) , (2,4) , (2,6) , (2,8) , (3,3) , (3,6) , (3,9) , (4,4) , (4,8) , (5,5) , (6,6) , (7,7) , (8,8) , (9,9) } Domain of R = { 1 , 2 , 3 , 4 , 5 ,6 , 7 , 8 , 9 } Range of R = { 2, 3, 4, 5, 6, 7, 8, 9 } Step-by-step explanation: Given: Set A = { 2, 3, 4, 5, 6, 7, 8, 9 } Relation R = { ( x, y ) : y belongs to A and x divides y} To find: Arrow Diagram, Roster form , Domain and Range of R.
Let x belong to natural no. then, Roster form of R R = { (1,2) , (1,3) , (1,4) , (1,5) , (1,6) , (1,7) , (1,8) , (1,9) , (2,2) , (2,4) , (2,6) , (2,8) , (3,3) , (3,6) , (3,9) , (4,4) , (4,8) , (5,5) , (6,6) , (7,7) , (8,8) , (9,9) } Domain of R: Let say Set B is domain of R, then B = { 1 , 2 , 3 , 4 , 5 ,6 , 7 , 8 , 9 } or B = { x : x ∈ N and x ≤ 9} Range of R: Let say set C defines Range of R, then C = { 2 , 3 , 4 ,5 , 6 , 7 , 8 , 9 } Range of R = Set A range of r= set ais a answer |
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