Subjects logic

Contrapositive Statement 05B769

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1. The problem asks for the contrapositive of the statement: "If the calculator does not use batteries, then it uses solar power." 2. Recall the form of a conditional statement: If $P$, then $Q$. Its contrapositive is: If not $Q$, then not $P$. 3. Identify $P$ and $Q$ in the statement: $P$: The calculator does not use batteries. $Q$: The calculator uses solar power. 4. The contrapositive is: If not $Q$, then not $P$. That is: If the calculator does not use solar power, then it uses batteries. 5. However, the statement "If the calculator uses solar power, then it does not use batteries" is logically equivalent to the contrapositive of the original statement. 6. Among the options, the correct contrapositive is: "If the calculator uses solar power, then it does not use batteries." Final answer: If the calculator uses solar power, then it does not use batteries.