If [x]2 – 5[x] + 6 = 0, where [∙] denotes the greatest integer fun – InterviewSolution

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1.

If [x]2 – 5[x] + 6 = 0, where [∙] denotes the greatest integer function, then A. x ∈ [3, 4] B. x ∈ (2, 3] C. x ∈ [2, 3] D. x ∈ [2, 4]

Answer»

Option : (D)

[x]²-5[x]+6 = 0

([x]-2)([x]-3) = 0

if [x] = 2

2≤x<3

And,

if [x] = 3

3≤x<4

Therefore,

x ∈ [2,4]

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