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Ficha 1 Relaciones Binarias
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Emilio Campos
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Ficha 1 Relaciones Binarias
1.
Li Emilio Jesús
Campos A. INSTITUTO PEDAGÓGICO NACIONAL MONTERRICO ANÁLISIS I = {(𝑠; 𝑡) ∈ ℝ × ℝ/(𝑠2 + 3𝑠; 𝑡2 − 7𝑡) = (−2; −12)} 𝐶 = {2; 3; 4; 5}, 𝑅 = {(𝑥; 𝑦) 𝐶 × 𝐶 / 𝑥 > 2 𝑦 > 3} 𝑅1 = {(𝑥, 𝑦) ℕ × ℕ/ 2𝑥 + 4𝑦 = 20} 𝐴 = {1; 2; 3; 4; 5} 𝑅 = {(1; 1); (2; 2); (3; 3); (5; 1); (2; 4); (5; 4); (5; 2); (4; 3); (3; 5)} 𝑀 = {𝑥 ∈ 𝐴/(𝑥; 2) ∈ 𝑅} 𝑁 = {𝑦 ∈ 𝐴/(3; 𝑦) ∈ 𝑅} 𝑃 = {𝑥 ∈ 𝐴/(𝑥; 5) ∈ 𝑅} (𝑀 ∪ 𝑁) − 𝑃 𝑁 = {1; 2; 3; 4} 𝑅1 = {(𝑥; 𝑦) ∈ ℕ × ℕ/𝑥 = 𝑦} 𝑅2 = {(𝑥; 𝑦) ∈ ℕ × ℕ/𝑦 = 3} 𝑅3 = {(𝑥; 𝑦) ∈ ℕ × ℕ/𝑦 ≥ 𝑥} R3-(R1 ∪R2) 𝑅 = {(𝑥; 𝑦) ∈ ℝ2 /|𝑦| ≥ 𝑥2 ∧ |𝑥| ≤ 4} 𝐴 = {3; 4; 5; 6; 7; 8; 9; 10} 𝑅 = {(𝑥; 𝑦) ∈ 𝐴 × 𝐴/𝑦 𝑒𝑠 𝑚ú𝑙𝑡𝑖𝑝𝑙𝑜 𝑑𝑒 𝑥} 𝑅 𝐴 = {1; 2; 4; 6; 8} 𝑅 = {(𝑥; 𝑦) ∈ 𝐴 × 𝐴/3 𝑒𝑠 𝑑𝑖𝑠𝑜𝑟 𝑑𝑒 𝑥 + 𝑦} ℤ: 𝑅1 = {(𝑥; 𝑦)/𝑥2 − 2𝑦 = 3} 𝑅2 = {(𝑥; 𝑦)/𝑥 > 𝑦 ∨ 𝑥 < 𝑦} 𝑅1 − 𝑅2 ℝ 𝑆 = {(𝑥; 𝑦)/𝑥 ≤ 3} 𝑦 𝑇 = {(𝑥; 𝑦)/𝑦 < 𝑥2 } 𝑅 = {(𝑥; 𝑦) ∈ ℝ2 /8 ≤ 𝑥2 + 𝑦2 ≤ 16 ∧ |𝑥| + |𝑦| ≤ 4}
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