Subjects logic

Inverse Statement 5Debbc

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1. The problem asks for the inverse of the conditional statement: "If the car does not start, then it is out of gas." 2. Recall the definitions: - Original statement: If $p$, then $q$. - Inverse: If not $p$, then not $q$. 3. Identify $p$ and $q$ in the original statement: - $p$: The car does not start. - $q$: The car is out of gas. 4. Write the inverse by negating both $p$ and $q$: - Not $p$: The car starts. - Not $q$: The car is not out of gas. 5. So the inverse statement is: "If the car starts, then it is not out of gas." 6. Among the options, this matches: "If the car starts, then it is not out of gas."