Greatest Integer Function Inequality (Jee Mains) | ExamDuo
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Continuity and Differentiability
Medium
Greatest Integer Function Inequality
Let f(x) = [x]
2
– [x + 3] – 3, x ∈
where [•] is the greatest integer function. Then
SELECT ONE OPTION
A
f(x) > 0 only for x ∈ [4, ∞)
B
f(x) < 0 only for x ∈ [–1, 3)
C
D
f(x) = 0 for finitely many values of x
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