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Section 3.3

Section 3.3. Truth Table for the Conditional Statement. Truth Table for Conditional Statement. Understanding the Truth Table for the Conditional Statement. p: You get an A. q: I buy you a car p  q: If you get an A, I will buy you a car

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Section 3.3

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  1. Section 3.3 Truth Table for the Conditional Statement

  2. Truth Table for Conditional Statement

  3. Understanding the Truth Table for the Conditional Statement p: You get an A. q: I buy you a car pq: If you get an A, I will buy you a car • Only if p is true and q is false is the “promise” of the conditional broken. You got an A, but I did not buy you a car. This makes the conditional FALSE • All other cases result in a TRUE conditional statement.

  4. Truth Table for Conditional Statement

  5. Understanding the Truth Table for the Conditional Statement p: You get an A. p q q: I buy you a car If you get an A, I will buy you a car. You got an A, and I bought you a car.

  6. Understanding the Truth Table for the Conditional Statement p: You get an A. p q q: I buy you a car. If you get an A, I will buy you a car. You got an A, but I didn’t buy you a car.

  7. Understanding the Truth Table for the Conditional Statement p: You get an A. p q q: I buy you a car. If you get an A, I will buy you a car. You didn’t get an A, but I did buy you a car.

  8. Understanding the Truth Table for the Conditional Statement p: You get an A. p q q: I buy you a car. If you get an A, I will buy you a car. You didn’t get an A, and I didn’t buy you a car.

  9. Tautology & Self-Contradiction Tautology: A compound statement that is always true Self-contradiction: A compound statement that is always false

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