Question

two sets are not even.
[CBSE (AI) 2010]
Show that each of the relation R in the set A = {x e Z:0 < x < 12}, given by
(i) R = {(a, b): a - b is a multiple of 4}
(ii) R = {(a, b): a = b} is an equivalence relation.
Find the set of all elements related to 1 in each case. I need it fast (attachment is recommended)​

Answer 1

Answer:

1) Null set ( as there is no natural number between 1 and 2 )

2) Singleton set ( as 2 lines interesect in 1 point only ; provided they are not Parallel or coincident )

3) Null set ( as there is no even prime number except 2 )

4) Singleton set ( as there is only one even prime number i.e. 2 )

5) Null set ( as x² = 9 => x = 3 which is odd )

Step-by-step explanation: