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Question
If 5<p<2 and 7<q<9, then what is the range of p + q?
Options:
A .  (-2, -7)
B .  (2, 7)
C .  (7, 2)
D .  (-7, -2)
Answer: Option B
:
B
5<p<2 and 7<q<9
Adding two inequalities with same natured inequalities will preserve the sign.
So adding the two inequalities:
5+7<p+q<2+9
2<p+q<7

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