Show that each of the relation R in the set `A={x in Z :0lt=xlt=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.

Explanation

To solve the problem, we need to show that each of the given relations is an equivalence relation and then find the set of all elements related to 1 in each case.

### Step 1: Define the Set A
The set \( A \) is defined as:
\[ A = \{ x \in \mathbb{Z} : 0 < x < 12 \} \]
This means \( A = \{ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 \} \).
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