Difficulty: Easy
Correct Answer: x, -, =
Explanation:
Introduction / Context:We must choose a triple of operators for the three "*" positions so that the resulting statement is a true equality. Such problems reward quick testing of plausible arithmetic that keeps integers tidy.
Given Data / Assumptions:
Concept / Approach:Prefer combinations that yield simple integers. A natural idea is to make the left-hand side compute to 12 so that “= 12” could plausibly balance. The pair "×, −" on the left can create such a result: 6 × 4 − 12 = 12.
Step-by-Step Solution:
Insert "×, −, =": 6 × 4 − 12 = 12.Compute: 6 × 4 = 24; 24 − 12 = 12; therefore 12 = 12, which is true.Verification / Alternative check:Test other choices briefly: e.g., "÷, −, =" gives 6 ÷ 4 − 12 = 12 (false). The selected set uniquely balances the equation cleanly.
Why Other Options Are Wrong:
They either place "=" in the wrong position or leave a non-integer/incorrect value on the left-hand side.Common Pitfalls:Forgetting that the last symbol must be "=" to produce a valid equality.
Final Answer:x, -, =
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