27. The shaded region above includes which of the following integers?

Answer: E

Explanation:

The shaded region above includes the integer 81.

The integer included in the shaded region is 81, which falls within the defined range of the shaded area.

A) 16

The integer 16 is not included in the shaded region, as it falls below the minimum value specified in the range of the shaded area.

B) 27

Similarly, 27 is also not part of the shaded region, as it is below the lower boundary of the designated range.

C) 36

The integer 36 does not fall within the shaded region either, as it is still below the minimum value defined by the boundaries of the shaded area.

D) 49

49 is not included in the shaded region since it remains below the threshold that defines the shaded area.

E) 81

The integer 81 is indeed included in the shaded region, as it falls within the specified range, making it the only correct option among the choices provided.

Conclusion

In summary, 81 is the only integer that is included in the shaded region, as it meets the criteria defined by the boundaries. All other options, 16, 27, 36, and 49, do not satisfy the conditions set by the shaded area, confirming that they are incorrect.