b. If 3 is a negative number, then 5>7.c. If 5>3, then 2 + 7 = 4.Solutiona. Because the consequent is true, this is a true statement.b. Because the antecedent is false, this is a true statement.c. Because the antecedent is true and the consequent is false, thisis a false statement.Philip Lester Benjamin, PhDThe Conditional and the Biconditional

The Conditional and the BiconditionalDetermine the truth value of each of the following.a. If 4≥3, then 2 + 5 = 6. b. If 5>9, then 4>9. c. If Tuesdayfollows Monday, then April follows March.Philip Lester Benjamin, PhDThe Conditional and the Biconditional

The Conditional and the BiconditionalConstruct a Truth Table for a Statement Involving aConditionalConstruct a truth table for [p∧(q∨ ∼p)]→∼p.SolutionPhilip Lester Benjamin, PhDThe Conditional and the Biconditional

The Conditional and the BiconditionalSeatwork:Construct a truth table for [p∧(p→q)]→q.Philip Lester Benjamin, PhDThe Conditional and the Biconditional

The Conditional and the BiconditionalAn Equivalent Form of the ConditionalPhilip Lester Benjamin, PhDThe Conditional and the Biconditional

The Conditional and the BiconditionalWrite each of the following in its equivalent disjunctive form.a. If I could play the guitar, I would join the band.b. If David Beckham cannot play, then his team will lose.Philip Lester Benjamin, PhDThe Conditional and the Biconditional

The Conditional and the BiconditionalWrite each of the following in its equivalent disjunctive form.a. If I could play the guitar, I would join the band.b. If David Beckham cannot play, then his team will lose.SolutionIn each case we write the disjunction of the negation of theantecedent and the consequent.a. I cannot play the guitar or I would join the band.b. David Beckham can play or his team will lose.Philip Lester Benjamin, PhDThe Conditional and the Biconditional

The Conditional and the BiconditionalSeatwork:Write each of the following in its equivalent disjunctive form.a. If I don’t move to Georgia, I will live in Houston.b. If the number is divisible by 2, then the number is even.Philip Lester Benjamin, PhDThe Conditional and the Biconditional

The Conditional and the BiconditionalThe Negation of the Conditional(Explain why?)Philip Lester Benjamin, PhDThe Conditional and the Biconditional

The Conditional and the BiconditionalWrite the negation of each conditional statement.

#### You've reached the end of your free preview.

Want to read all 36 pages?

- Fall '19
- Logic, Logical connective, Switch statement, Mindanao, If and only if, Philip Lester P. Benjamin