Ejercicios básicos obre 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}