`A={1,2,3,4,5},S={(x,y):x in A,y, in A}`, then find the ordered which satisfy the conditions given below.
(i) `x+y=5` (ii) `x+ylt5`
(iii) `x+y=gt8`

Explanation

To solve the problem, we need to find ordered pairs \((x, y)\) from the set \(A = \{1, 2, 3, 4, 5\}\) that satisfy the given conditions. The set \(S\) is defined as \(S = \{(x, y) : x \in A, y \in A\}\).

### Step-by-Step Solution

**Condition (i): \(x + y = 5\)**

1. **List all possible pairs**: We need to find pairs \((x, y)\) such that their sum equals 5.
2. **Check combinations**:
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