Final answer:
To find the number of even integers between -20/3 and 37/5, determine the range of integers that satisfy this condition. The set of even integers between -20/3 and 37/5 is -6, -4, -2, 0, 2, 4, 6. The correct answer is (d) 27.
Step-by-step explanation:
To find the number of even integers between -20/3 and 37/5, we need to determine the range of integers that satisfy this condition.
The closest even integer to -20/3 is -6, and the closest even integer to 37/5 is 7. Therefore, the set of even integers between -20/3 and 37/5 is: -6, -4, -2, 0, 2, 4, 6.
There are a total of 7 even integers in this set. Therefore, the correct answer is (d) 27.