<p>The number of solutions of <span>|cos x| > 1</span> in <span>(0, 2013π)</span> is</p>
Step-by-Step Solution
Key Concept: The range of cosine is always bounded by [-1, 1], so the inequality |cos x| > 1 is impossible.
<p><strong>Solution:</strong> Since <span>-1 ≤ cos x ≤ 1</span> for all real <span>x</span>, we have <span>|cos x| ≤ 1</span> for all <span>x</span>.</p><p>Therefore, <span>|cos x| > 1</span> has no solutions in any interval.</p><p>∴ The number of solutions is <strong>0</strong>.</p>
Correct Answer: 0