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Question
If 3<p<7 and 9<q<4, then what is the range of p - q?
Options:
A .  (-16, -7)
B .  (16, 7)
C .  (7, 16)
D .  (-7, -16)
Answer: Option C
:
C
3<p<7 and 9<q<4
Multiply the second inequality with - 1. This causes the sign to flip.
So, 3<p<7 and 4<q<9

Adding these two inequalities, we get
7<pq<16

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