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## Homework Statement

Solve : [tex]\frac {2}{x} < 3[/tex]

The answers are [tex]\frac {2}{3} < x and x<0[/tex]

## The Attempt at a Solution

[tex]\frac {2}{x} = 3[/tex]

Multiplying by x and dividing by 3, I obtain [tex]\frac {2}{3} < x[/tex]

Where did they obtain [tex]x<0[/tex] as an answer? Also, accounting that x can be a negative, [tex]\frac {2}{3} > x[/tex] also seems like a solution.