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GRE Quantitative Reasoning
QUESTION #8070
Question 1
Given the inequality $x + 2y > 8$, compare:
Column A: $2x + 4y$
Column B: 20
Correct Answer Explanation
From the given inequality: $x + 2y > 8$
Multiplying both sides by 2: $2(x + 2y) > 2(8)$
This gives us: $2x + 4y > 16$
So we know that Column A $> 16$, but we cannot determine whether $2x + 4y$ is greater than, less than, or equal to 20 without additional information.
For example:
- If $x = 5, y = 2$: then $x + 2y = 9 > 8$ ✓, and $2x + 4y = 18 < 20$
- If $x = 10, y = 5$: then $x + 2y = 20 > 8$ ✓, and $2x + 4y = 40 > 20$
Since different valid values give different relationships, the answer cannot be determined from the information given.
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