Question

Let A={1,2,3}, B={1,2,3,4} and R={(x,y):(x,y)ϵ A∗B, y=x+1} wirte domain & range of R A) {1,2,3},{1,2,3,4} B) {1,2,3},{1,2,3} C) {2,3},{1,2} D) {1,2,3},{2,3,4}

Answer 1

Step-by-step explanation:

The relation R from A to A is given as

R={(x,y):3x−y=0;x,y∈A}

i.e., R={(x,y):3x=y;x,y∈A}

∴R={(1,3),(2,6),(3,9),(4,12)}

The domain of R is the set of all first elements of the ordered pairs in the relation

∴ Domain of R={1,2,3,4}

The whole set A is the co-domain of the relation R

∴ Codomain of R=A={1,2,3,.....,14}

The range of R is the set of all second elements of the ordered pairs in the relation.

∴ Range of R={3,6,9,12}.............

hope this will help you. thank you for this question......

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Answer 2

hope the answer will help u