Example 7:

Example 7:-  Let A=, {1,2,3,4,5,6}. Define a relation R from A to A by R={(x,y):y=x+1}
(i) Depict this relation using an arrow diagram.
(ii) Write down the domain, codomain the range of R. 

Dear Student,
Please find below the solution to the asked query:

A=1,2,3,4,5,6R=x,y: y=x+1 and both x,yACodomain is set A itslef. For y=x+1 ,whenx=1, y=2when x=2y=3when x=3y=4when x=4y=5when x=5y=6when x=6y=7 but 7 does not belong to AHence Domain is 1,2,3,4,5Range is 2,3,4,5,6R=1,2,2,3,3,4,4,5, 5,61234523456

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