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

Step 1: Define the Simple Statements

We are given two simple statements:

  • Let \( a \) represent "I have a headache."
  • Let \( b \) 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: \[ a \vee b \] This translates to: \[ \text{"I have a headache or I am tired."} \]

Final Answer

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

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