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Problem 16 - Entrance Test
The number of real solutions of sin x = x⁄4 is
A. 1
B. 3
C. 5
D. 7
Check Answer
Show Solution
Correct: C
Graphical: sin x intersects x⁄4 at x=0 and symmetric pairs ±x₁,±x₂,±x₃ (since |sin x|≤1 and |x⁄4|≤1 ⇒ |x|≤4). Total 5.