Question

If A = {1, 3, 5}, find (a) A × A (b) find the relation r3 in A × A defined as '2 less than'​

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, so on ,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: