Question

4- Let A = {1,2,3 ... 10) and R = {(a,b); a E Ab E B and a + 2b = 10)
(a) Express R and R-' as set of ordered pairs.
(b) Find the domain and Range of R and R^1​

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}

Step-by-step explanation:

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