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|x^3 + 3x^2 - 33x - 3| >= 2x^2

Source: 0

April 28, 2009
inequalities

Problem Statement

For all ∣x∣≥n |x| \ge n, the inequality |x^3 \plus{} 3x^2 \minus{} 33x \minus{} 3| \ge 2x^2 holds. Integer n n can be at least ?
<spanclass=′latex−bold′>(A)</span> 9<spanclass=′latex−bold′>(B)</span> 8<spanclass=′latex−bold′>(C)</span> 7<spanclass=′latex−bold′>(D)</span> 6<spanclass=′latex−bold′>(E)</span> 5<span class='latex-bold'>(A)</span>\ 9 \qquad<span class='latex-bold'>(B)</span>\ 8 \qquad<span class='latex-bold'>(C)</span>\ 7 \qquad<span class='latex-bold'>(D)</span>\ 6 \qquad<span class='latex-bold'>(E)</span>\ 5
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