Questions: Use the given simple statements to write the compound statement a ∨ b in words. a: I have a headache. b: I am tired.

Use the given simple statements to write the compound statement a ∨ b in words. a: I have a headache. b: I am tired.
Transcript text: Use the given simple statements to write the compound statement $\mathrm{a} \vee \mathrm{b}$ in words. $a$ : I have a headache. b: I am tired.
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Solution

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Solution Steps

The question asks to express the compound logical statement a∨b a \vee b in words, given the simple statements a a and b b . The logical operator ∨ \vee represents "or". Therefore, the compound statement a∨b a \vee b translates to "I have a headache or I am tired."

Step 1: Define the Simple Statements

We are given two simple statements:

  • Let a a represent "I have a headache."
  • Let b b represent "I am tired."
Step 2: Formulate the Compound Statement

The compound statement is formed using the logical operator ∨ \vee (which represents "or"). Therefore, the compound statement can be expressed as: a∨b a \vee b This translates to: "I have a headache or I am tired." \text{"I have a headache or I am tired."}

Final Answer

The compound statement is: "I have a headache or I am tired." \boxed{\text{"I have a headache or I am tired."}}

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