Answer:
(2,1), (1,2) is your base step
if (a,b) is in the set (a+1,b+1) will be in the set
if (a,b) is in the set (a+2,b) will be in the set
if (a,b) is in the set (a,b+2) will be in the set.
Step-by-step explanation:
Think about how to solve this problem in general. How can you assure that the sum a+b is odd ?
Think about this, what happens when you sum two even numbers ? The result is even or odd ?
2+6 = 8 (even )
10+12 = 22 (even)
And what happens when you sum two odd numbers ? The result will be even or odd ? Look
3+7 = 10 (even)
5+11 = 16 (even)
Therefore to assure that a+b is odd, one of them has to be odd and one of them has to be even, that is why
(2,1), (1,2) is your base step
if (a,b) is in the set (a+1,b+1) will be in the set
if (a,b) is in the set (a+2,b) will be in the set
if (a,b) is in the set (a,b+2) will be in the set.
