Question

Let r be the relation on the set n of natural numbers defined by r a,b : a 3b 12,an,bn. Find : a) r b) domain of r c) range of r

Answer 1

Answer:

Step-by-step explanation:

:

r  =  {(a,b):a+3b  =  12,a∈N,b∈N}

1)   a+3b  = 12

b = 1,  a = 9

b=2,  a=6

b=3, a=3

b≥4, a=0

a will NOT belong is natural number.

R={(9,1), (6,2), (3,3)}

2)Domain of R={9,6,3}

3)Range of R={1,2,3}.

Answer 2

Answer:

PLEASE REFER TO THE ATTACHMENT!!