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Solve (2)/(x) lt 3....

Solve ` (2)/(x) lt 3`.

Text Solution

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`(2)/(x) lt 3`
or `(2)/(x)-3 lt 0 " " ` (We cannot crossmultiply with x as x can be negative or positive)
or `(2-3x)/(x) lt 0`
or `(3x-2)/(x) gt 0`
or `((x-2//3))/(x) gt 0`
Sign scheme of `((x-2//3))/(x)` is as follows :

`implies x in (-oo, 0) cup(2//3, oo)`
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