=>

<x> can be defined in the following way:

If m ≤ x < m + 1, where m is an integer, then <x> = m.

[x] can be defined in the following way:

If n – 1 < x ≤ n, where n is an integer, then [x] = n.

Since x is not an integer, there is an integer n such that n – 1 < x < n.

So, <x> = n -1 and [x] = n.

Thus, [x] - <x> = n – ( n – 1 ) = 1.

We can also solve this problem by plugging in numbers. If x = 1.1, then

[1.1] - <1.1> = 2 – 1 = 1.

Therefore, the answer is A.

Answer: A

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