True or False?

Algebra Level pending

What is the greatest number of the following statements that can be true at the same time?

1 a < 1 b a 2 > b 2 a < b a < 0 b < 0 \frac { 1 }{ a } <\frac { 1 }{ b } \\ \\ { a }^{ 2 }>{ b }^{ 2 }\\ \\ a<b\\ \\ a<0\\ \\ b<0

5 3 4 2

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1 solution

Bk Lim
Dec 18, 2014

2nd to 5th statement can be true at the same time, but not the 1st statement.

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