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Transitive Property

If x < y and y < z, then x < z

 

Example
1/Q > 1
Column A Column B
Q2 1


Since 1/Q > 1 and 1 > 0, we know from the transitive property that 1/Q is positive.

 

Hence, Q is positive. Therefore, we can multiply both sides of 1/Q > 1 by Q without reversing the inequality:

 

Reducing yields
1 > Q

 

Multiplying both sides again by Q yields

Q > Q2

 

Using the transitive property to combine the last two inequalities yields

1 > Q2

 

The answer is (B).
 





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