Review Given p: Today is Thursday q: Tomorrow is Friday Write: 1. ~p^q 2. pv~q 1. Today is not...
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Transcript of Review Given p: Today is Thursday q: Tomorrow is Friday Write: 1. ~p^q 2. pv~q 1. Today is not...
![Page 1: 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.](https://reader034.fdocuments.in/reader034/viewer/2022051418/5697bf741a28abf838c7f957/html5/thumbnails/1.jpg)
Review Given
p: 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.
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Truth Tables
GeometryUnit 9, Day 3Mr. Zampetti
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Objective
To construct truth tables and determine the truth value of compound statements.
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Definition
Truth Table – a convenient way to organize the truth values of statements.
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Negation Truth Table
p ~p
T
F
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Truth Values
Conjunctions are true ONLY when BOTH statements are true.
Look at the example in your notes packet.
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Conjunction Truth Table
p q p^q
T T
T F
F T
F F
Remember a conjunction is only true when BOTH are true!
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Truth Values
Disjunctions are true if AT LEAST ONE statement is true.
Look at the example in your notes packet.
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Disjunction Truth Table
p q pvq
T T
T F
F T
F F
Remember a disjunction is true when AT LEAST ONE are true!
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Constructing Truth Tables
GIVEN: p^~q Step 1: Make columns with
headings p, q, ~q, and p^~q
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p^~q
p q ~q p^~q
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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.
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p^~q
p q ~q p^~q
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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.
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p^~q
p q ~q p^~q
T T
T F
F T
F F
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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.
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p^~q
p q ~q p^~q
T T F
T F T
F T F
F F T
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Make a truth table for ~pvq
p q ~p ~pvq
T T
T F
F T
F F
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Make a truth table for ~pv~q
p q ~p ~q ~pv~q
T T
T F
F T
F F
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Homework
Work Packet: Truth Tables
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Truth table for (pvq) ^ ~q
p q ~q pvq (pvq)^~q
T T
T F
F T
F F