Question

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

Answer 1

Answer:

x ∈ [2,4)

Step-by-step explanation:

We have [x]2 – 5[x] + 6 = 0 => [(x – 3)([x] – 2) = 0

⇒[x] = 2,3 .

For [x] = 2, x ∈ [2, 3)

For [x] = 3, x ∈ [3,4)

x ∈ [2, 3) u [3,4)

Or x ∈ [2,4)                                                                                                                                 MARK ANSWER AS BRAINLIEST