--- Logica Matematica Tablas De Verdad Ejercicios Resueltos «Plus – HACKS»

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

| ( p ) | ( q ) | ( p \lor q ) | |--------|--------|----------------| | V | V | V | | V | F | V | | F | V | V | | F | F | F | Problem: Build the truth table for ( p \to q ). --- Logica Matematica Tablas De Verdad Ejercicios Resueltos

| ( p ) | ( \neg p ) | |--------|--------------| | V | F | | F | V | Problem: Build the truth table for ( p \land q ). | ( p ) | ( q )

| ( p ) | ( q ) | ( p \to q ) | |--------|--------|----------------| | V | V | V | | V | F | F | | F | V | V | | F | F | V | An implication is only false when the antecedent ((p)) is true and the consequent ((q)) is false. Exercise 5: Biconditional Problem: Build the truth table for ( p \leftrightarrow q ). Exercise 5: Biconditional Problem: Build the truth table

✅ All final values are → Contradiction . Exercise 9: Logical Equivalence Problem: Verify that ( \neg (p \land q) \equiv \neg p \lor \neg q ) (De Morgan’s Law).