The smallest integer from the given set {-17, -7, -12, 2} is -17, making option D the right choice.
An integer is a whole number that can be positive, negative, or zero and is not a fraction.
The integer values are in the following order: negative, zero, then positive.
The real value of a negative integer decrease as the number increases.
For positive integers, the real value increases as the number increases.
In the question, we have been asked for the integer with the smallest value in the set {-17, -7, -12, 2}.
As discussed above, we know the order for negative and positive integers.
Thus, arranging the set in ascending order, we get:
-17 < -12 < -7 < 2.
Thus, the smallest integer from the given set {-17, -7, -12, 2} is -17. Hence, option D is the right choice.
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