Question

3. (a) Number of relations from the set A to the set A,where A={-1,1}
(
(b) A={1,2,3,------ 14} Define a relation from A
14} Define a relation from A → A by R = {(x,y): 3x - y = 0, x, y E A}
Write down its domain and Range​

Answer 1

Answer:

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

find attachment....!

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