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- If [x] is the greatest integer less than or equal to
*x*, what is the value of [-1.6] + [3.4] + [2.7]?- 3
- 4
- 5
- 6
- 7

Before attempting to answer the question, you must understand [x] is an operation:

[x] = (Greatest Integer x)

[x] is representative of the respective values of -1.6, 3.4, and 2.7, and for each of those values [x] must be an integer, which is a positive or negative whole number, and that integer must be less than or equal to the values of -1.6, 3.4, and 2.7.

The first thing you can do is disregard the verbiage “equal to.” Though -1.6, 3.4, and 2.7 are all real numbers, none of them is an integer as they all have decimal points. In light of this, we are now looking for **the integer for each number that is less than but closest to that number in value**.

The respective values of [x] for each of these numbers is

[-1.6] = -2

[3.4] = 3

[2.7] = 2

After arriving at these numbers it’s a simple matter of plugging them into the equation and solving:

[-1.6] + [3.4] + [2.7] = -2 + 3 + 2

[-1.6] + [3.4] + [2.7] = 3

Thus, the answer is (a).

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