If $\log _{1 / 2}\left([x]^2-4[x]+5\right) \geq 0$, then $x$ belongs to

JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy

1 of 1

Application +4 | -1

\log _{1 / 2}\left([x]^2-4[x]+5\right) \geq 0

, then

x

belongs to

View answer and explanation

Correct option: C

[2,3)

The correct answer is C ([2,3)) because the inequality simplifies to ([x]-2)² <= 0, implying [x] = 2, which means 2 <= x < 3.

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