Question
Question: If'[x]<sup>2</sup>− 5[x] + 6 = 0, where [.] denote the greatest integer function, then...
If'[x]2− 5[x] + 6 = 0, where [.] denote the greatest integer function, then
A
x ∈ [3, 4)
B
x ∈ [2, 3]
C
x ∈ {2, 3}
D
x ∈[2, 4)
Answer
x ∈[2, 4)
Explanation
Solution
[x]2 - 5[x] + 6 = 0 => [x] = 2, 3 => x ∈ [2, 4)