Question

How many real numbers satisfy the condition 0 $\le$$\frac{2}{3}\left[x\right]\le$1

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Answer 1

[x] takes only integer values .

So the values of [x] can assume are 0 and 1.

For any other value of [x] . $\frac{2}{3}$ [x] goes out of its range ([0,1)) .