Final answer:
The correct range of possible values for the expression 1/y, given that 0.125 < 1/y < 8, is Option A: 1/8 < 1/y < 1/0.125.
Step-by-step explanation:
The student is asked to find the possible values of the expression 1/y given that 0.125 < 1/y < 8. To solve this, we can take the reciprocals of the given inequality since 1/y is itself a reciprocal of y. Taking the reciprocals inverts the inequality signs. Therefore, the inequality 1/y > 1/0.125 and 1/y < 1/8 holds true. Rewriting this, we get 1/0.125 < y < 8.
However, we want to find the reciprocal range for 1/y, so we invert the original inequality to 8 > y > 0.125 which gives us 1/8 < 1/y < 1/0.125.
Thus, the correct option for the range of possible values for 1/y is A. 1/8 < 1/y < 1/0.125.