Mark the correct alternative in the following:
If [x]² – 5[x] + 6 = 0, where [∙] denotes the greatest integer function, then

Question

Mark the correct alternative in the following: If [x] 2 – 5[x] + 6 = 0, where [∙] denotes the greatest integer function, then

Philoid · Accepted 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..

Mark the correct alternative in the following:If [x]2 – 5[x] + 6 = 0, where [∙] denotes the greatest integer function, then