Interchanges: swap “−” with “÷” and swap the digits 2 ↔ 6 everywhere. Which equality turns true?

Introduction / Context:Apply two systematic swaps: interchange “−” with “÷” in the expression and interchange the digits 2 and 6 wherever they appear. After both swaps, evaluate and find which option yields a true statement.

Given Data / Assumptions:

• Operator swap: “−” ↔ “÷”.
• Digit swap: 2 ↔ 6 globally.

Concept / Approach:Transform each candidate fully (both sides) and compute. Standard precedence still applies after the swaps.

Step-by-Step Solution (Option C):

Verification / Alternative check:Other options, after the same two swaps, produce decimal or mismatched values, so they are not true equalities.

Why Other Options Are Wrong:They evaluate to numbers different from the right-hand side after performing both swaps.

Common Pitfalls:

• Swapping only on the left and forgetting the right-hand side if it contains swappable digits.

Final Answer:32 - 16 ÷ 6 = 1