--- Logica Matematica Tablas De Verdad Ejercicios Resueltos Site

| ( p ) | ( q ) | ( r ) | ( p \lor q ) | ( \neg r ) | ( (p \lor q) \to \neg r ) | |--------|--------|--------|----------------|--------------|-----------------------------| | V | V | V | V | F | F | | V | V | F | V | V | V | | V | F | V | V | F | F | | V | F | F | V | V | V | | F | V | V | V | F | F | | F | V | F | V | V | V | | F | F | V | F | F | V (F → F = V) | | F | F | F | F | V | V (F → V = V) | Problem: Show that ( (p \to q) \lor (q \to p) ) is a tautology (always true).

| ( p ) | ( q ) | ( p \to q ) | ( q \to p ) | ( (p \to q) \lor (q \to p) ) | |--------|--------|--------------|--------------|-------------------------------| | V | V | V | V | V | | V | F | F | V | V | | F | V | V | F | V | | F | F | V | V | V | --- Logica Matematica Tablas De Verdad Ejercicios Resueltos

| ( p ) | ( \neg p ) | ( p \land \neg p ) | |--------|--------------|----------------------| | V | F | F | | F | V | F | | ( p ) | ( q )

| ( p ) | ( q ) | ( p \leftrightarrow q ) | |--------|--------|---------------------------| | V | V | V | | V | F | F | | F | V | F | | F | F | V | Problem: Build the truth table for ( (p \lor q) \to \neg r ). Exercise 8: Check if Contradiction Problem: Show that

✅ All final values are → Tautology . Exercise 8: Check if Contradiction Problem: Show that ( p \land \neg p ) is a contradiction (always false).