If (\[x]^2 - 5\[x] + 6 = 0, )where \[x] denotes the greatest... | Mathematics | SolveeIt | Solveeit

Today, August 18

Question

If $[x]^2 - 5[x] + 6 = 0,$ where [x] denotes the greatest integer function, then

A

x ∈ [3, 4]

B

x ∈ [2, 4)

C

x ∈ [2,3]

D

x ∈ (2,3]

Answer

x ∈ [2, 4)

Explanation

Solution

The correct answer is Option (B) : x ∈ [2, 4)