Yes or No: Is the value of *w* less than the value of *y*? The statements are a little more annoying.

(1) INSUFFICIENT: This statement provides a range of possible values for *w*, but gives no information about *y*, so it's impossible to say whether *w* is less than *y*.

(2) INSUFFICIENT: This statement provides a range of possible values for *y*, but gives no information about *w*, so it's impossible to say whether *w* is less than *y*.

(1) AND (2) INSUFFICIENT: The second inequality has the sign in the reverse order, so switch it around in order to compare the two:

1.3 < *w* < 1.3101

*y* > 1.3033

If it's helpful to you, sketch out a number line to help visualize the information. The start of the range of possible values for *y*, 1.3033, starts in between 1.3 and 1.3101, and then continues to extend forever to the right—that is, to values greater than 1.3101.

Case 1: *w* = 1.301 and *y* = 1.305. In this case, Yes, *w* is less than *y*.

Case 2: *w* = 1.31 and *y* = 1.305. In this case No, *w* is not less than *y*.

Since there are both Yes and No answers to this question, (1) and (2) together are not sufficient.

The correct answer is (E): Even when used together, the two statements are not sufficient to answer the question.