Respuestas sección 1.3

Ejercicios 1 al 8, operaciones entre conjuntos.

  1. A∪B={1,2,3,4,5,6,7,8}\hspace{0.1cm}A\cup B=\{1,2,3,4,5,6,7,8\}
  2. B∪C={2,3,4,5,6,7,8,9,10}\hspace{0.1cm}B\cup C=\{2,3,4,5,6,7,8,9,10\}
  3. A∪C={1,2,3,4,5,6,7,8,9,10}\hspace{0.1cm}A\cup C=\{1,2,3,4,5,6,7,8,9,10\}
  4. A∪B∪C={1,2,3,4,5,6,7,8,9,10}\hspace{0.1cm}A\cup B\cup C=\{1,2,3,4,5,6,7,8,9,10\}
  1. A∩B={2,4,6}\hspace{0.1cm}A\cap B=\{2,4,6\}
  2. B∩C={8}\hspace{0.1cm}B\cap C=\{8\}
  3. A∩C={7}\hspace{0.1cm}A\cap C=\{7\}
  4. A∩B∩C={∅}\hspace{0.1cm}A\cap B\cap C=\{\emptyset\}

Ejercicios 9 al 18 expresar una desigualdad.

  1. x<0\hspace{0.1cm}x<0
  2. q≤π\hspace{0.1cm}q\leq\pi
  3. pq≤7\hspace{0.1cm}\cfrac{p}{q}\leq 7
  4. ∣x∣>7\hspace{0.1cm}\mid x\mid>7
  5. b>0\hspace{0.1cm}b>0
  1. (x+y)<0\hspace{0.1cm}\left(x+y\right)<0
  2. w≥−4\hspace{0.1cm}w\geq -4
  3. c−1≤5\hspace{0.1cm}c-1\leq 5
  4. ∣t−1∣<50\hspace{0.1cm}\mid t-1\mid<50
  5. ∣s+4∣≥7\hspace{0.1cm}\mid s+4\mid\geq 7

Ejercicios 19 al 28. Distancia entre dos puntos.

  1. ∣7−3∣=4\hspace{0.1cm}\mid7-3\mid=4
  2. ∣−5−7∣=12\hspace{0.1cm}\mid-5-7\mid=12
  3. ∣−6−(−5)∣=1\hspace{0.1cm}\mid-6-\left(-5\right)\mid=1
  4. ∣−2−(−6)∣=4\hspace{0.1cm}\mid-2-\left(-6\right)\mid=4
  5. ∣4−(−2)∣=6\hspace{0.1cm}\mid4-\left(-2\right)\mid=6
  1. ∣−9−4∣=13\hspace{0.1cm}\mid-9-4\mid=13
  2. ∣1−(−9)∣=10\hspace{0.1cm}\mid1-\left(-9\right)\mid=10
  3. ∣10−1∣=9\hspace{0.1cm}\mid10-1\mid=9
  4. ∣10−3∣=7\hspace{0.1cm}\mid10-3\mid=7
  5. ∣3−1∣=2\hspace{0.1cm}\mid3-1\mid=2