Question

let A ={0, 1,2,3,4,5} A relation R define from A to A by R ={(x, x<4) :x€A} find domian R​ explain in detail.....

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}

Answer 2

Answer:

Domain ={0,1,2,3,4,5}

Step-by-step explanation:

Domain is the set of all possible inputs of the relation

Or

simply if a function is defined from A-B then domain is A