Interchange one pair of signs to make the equation true: 4 × 2 + 6 ÷ 2 − 12 = 2

Introduction / Context:We must globally swap one listed pair of operators so that the equality holds with standard precedence.

Given Data / Assumptions:

• Original: 4 × 2 + 6 ÷ 2 − 12.
• Target: 2.

Concept / Approach:Test each swap and evaluate.

Step-by-Step Solution:Swap ÷ and × (Option A): becomes 4 ÷ 2 + 6 × 2 − 12.Compute: 4 ÷ 2 = 2; 6 × 2 = 12 → 2 + 12 − 12 = 2 (true).Other swaps yield values different from 2.

Verification / Alternative check:Direct substitution confirms only Option A gives 2.

Why Other Options Are Wrong:They produce non-equal outcomes after evaluation.

Common Pitfalls:Forgetting that the swap applies to all occurrences of the two signs.

Final Answer:÷ and x.