Mathematics · Equations

If [x]2 − 5[x] + 6 = 0, where [ . ] denotes the greatest integer function, then the interval to which x belongs is:

Verified Solution4 OptionsUpdated: October 2026👁️1 View

1x ∈ [3, 4]
2x ∈ (2, 3]
3x ∈ [2, 3]
4x ∈ [2, 4)✓

Correct answer

x ∈ [2, 4)

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If [x]2 − 5[x] + 6 = 0, where [ . ] denotes the greatest integer function, then the interval to which x belongs is:

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If [x]2 − 5[x] + 6 = 0, where [ . ] denotes the greatest integer function, then the interval to which x belongs is:

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