1972 AMC 12 Problem 10
Attempt Problem 10 of the 1972 AMC 12 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 1972 AMC 12 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
10.
For real, the inequality is equivalent to:
or
or
or
Answer: D
Small hint:
The upper bound places within units of
Big hint:
The lower bound removes the open interval of points less than unit from
Solution:
The condition gives The condition gives or Their intersection is
Therefore, the correct answer is D.
Problem 10 in other years
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