Question

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

___

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) .