Difficulty: Medium
Correct Answer: 5 > 2 + 2 = 10 < 4 x 8
Explanation:
Introduction / Context:This is a symbol-decoding problem where each comparison or arithmetic operator represents a different real operator. We must decode each expression fully and then evaluate using standard precedence rules, keeping comparisons in their correct roles after mapping.
Given Data / Assumptions:
Concept / Approach:Translate symbols before computing. After translation, handle × and ÷ first, then + and −, and finally evaluate comparisons. Chain comparisons should be read in order; once decoded, you typically compare left block to right block with the mapped comparator.
Step-by-Step Solution:
Option C decoding: "5 > 2 + 2 = 10 < 4 x 8"Apply mapping: >→×, +→÷, =→<, <→−, x→+.Thus it becomes: 5 × 2 ÷ 2 < 10 − 4 + 8.Compute left: 5 × 2 ÷ 2 = 5. Compute right: 10 − 4 + 8 = 14. Compare with "<": 5 < 14 is true.Verification / Alternative check:Briefly check the others after mapping: they resolve to false inequalities (e.g., yielding 14 = 0 or 1 > 3, which are false).
Why Other Options Are Wrong:
A, B, and D, when decoded, produce incorrect comparisons such as 14=0, 1>3, or 1>8.Common Pitfalls:Partially decoding or forgetting to enforce correct operator precedence after translation.
Final Answer:5 > 2 + 2 = 10 < 4 x 8
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