Q. 444.0( 4 Votes )

Mark the correct alternative in the following:

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 :

[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,


Option D..

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