If p and q are positive integers, how many integers are larger than pq and smaller than p(q + 5)? Select the correct option.
A) 3  B) P + 2  C) p – 2  D) 2p – 1  E) 5p - 1
The number of integers between x and y, where x&gt;y is (x-y)-1. For example, the number of integers between 1 and 5 is  (5-1)-1= 
<gadget id="calculator"> (5-1)-1</gadget>
<output>3</output>
3: 2, 3, and 4.   Thus, the number of integers between pq and p(q+5)=pq+5p is (pq+5p-pq)-1=5p-1.   Answer: 5p - 1.
<result>E</result>
If p and q are positive integers, how many integers are larger than pq and smaller than p(q + 5)?