Section 3'2 Compound Statements and Connectives

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Section 3.2 Compound Statements and Connectives

• Thinking Mathematically
• Math 1001

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Objectives

• Express compound statements in symbolic form.
• Express symbolic statements with parentheses in
  English.

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Compound Statements
Simple statements can be connected with and,
Either or, If then, or if and only if.
These more complicated statements are called
compound.
Either Miami is a city in Florida or Atlanta is
a city in Florida is a compound statement that
is true.
Miami is a city in Florida and Atlanta is a city
in Florida is a compound statement that is false.
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And Statements
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Either ... or Statements
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If ... then Statements
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If and only if Statements
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Example 4a Translating from English to Symbolic
Form

• p the word is set
• q the word has 464 meanings
• The word is set if and only if the word has 464
  meanings.

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Example 4b Translating from English to Symbolic
Form

• p the word is set
• q the word has 464 meanings
• The word does not have 464 meanings if and only
  if the word is not set.

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Symbolic Logic
Let p and q be statements.
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Example 5a Expressing Symbolic Statement With and
Without Parentheses in English.

• p Barry Bonds is a baseball player.
• q Barry Bonds is a basketball player.

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Example 5b Expressing Symbolic Statement With and
Without Parentheses in English.

• p Barry Bonds is a baseball player.
• q Barry Bonds is a basketball player.

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Example 5c Expressing Symbolic Statement With and
Without Parentheses in English.

• p Barry Bonds is a baseball player.
• q Barry Bonds is a basketball player.

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Section 3.2 Homework

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