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Review

Review. Given p: Today is Thursday q: Tomorrow is Friday Write: 1. ~p^q 2. pv~q 1. Today is not Thursday and tomorrow is Friday 2. Today is Thursday or tomorrow is not Friday. Truth Tables. Geometry Unit 9, Day 3 Mr. Zampetti. Objective.

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Review

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  1. Review • Givenp: Today is Thursdayq: Tomorrow is Friday • Write: 1. ~p^q 2. pv~q • 1. Today is not Thursday and tomorrow is Friday • 2. Today is Thursday or tomorrow is not Friday.

  2. Truth Tables Geometry Unit 9, Day 3 Mr. Zampetti

  3. Objective • To construct truth tables and determine the truth value of compound statements.

  4. Definition • Truth Table – a convenient way to organize the truth values of statements.

  5. Negation Truth Table

  6. Truth Values • Conjunctions are true ONLY when BOTH statements are true. • Look at the example in your notes packet.

  7. Conjunction Truth Table Remember a conjunction is only true when BOTH are true!

  8. Truth Values • Disjunctions are true if AT LEAST ONE statement is true. • Look at the example in your notes packet.

  9. Disjunction Truth Table Remember a disjunction is true when AT LEAST ONE are true!

  10. Constructing Truth Tables • GIVEN: p^~q • Step 1: Make columns with headings p, q, ~q, and p^~q

  11. p^~q

  12. Constructing Truth Tables • p^~q • Step 1: Make columns with headings p, q, ~q, and p^~q • Step 2: List possibilities of p and q.

  13. p^~q

  14. Constructing Truth Tables • p^~q • Step 1: Make columns with headings p, q, ~q, and p^~q • Step 2: List possibilities of p and q. • Step 3: Determine ~q by using q.

  15. p^~q

  16. Constructing Truth Tables • p^~q • Step 1: Make columns with headings p, q, ~q, and p^~q • Step 2: List possibilities of p and q. • Step 3: Determine ~q by using q. • Step 4: Determine p^~q by using p and ~q.

  17. p^~q

  18. Make a truth table for ~pvq

  19. Make a truth table for ~pv~q

  20. Homework • Work Packet: Truth Tables

  21. Truth table for (pvq) ^ ~q

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