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  • Given A = {1, 2, 3, 4, 5}, S = {(x, y) : x ∈ A, y ∈ A}. Find the ordered pairs which satisfy the conditions given below:

Given A = \left \{1, 2, 3, 4, 5\right \}, S = \left \{(x, y) : x \in A, y \in A\right \}. Find the ordered pairs which satisfy the conditions given below:

(i) x + y = 5

(ii) x + y < 5

(iii) x + y > 8

Answers (1)

Given data:

A = \left \{1, 2, 3, 4, 5\right \} &

S = \left \{(x, y) : x \in A, y \in A\right \}

Now,

  1. The ordered pairs that satisfying the given condition,x + y = 5 are, (1,4), (4,1), (2,3) \& (3,2).
  2. The ordered pairs that satisfying the given condition, x + y < 5 are, (1,1), (1,2), (2,1), (1,3), (2,2), (3,1).
  3. The ordered pairs that satisfying the given condition, x + y > 8 are, (4,5), (5,4), (5,5).
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