Answer :

[tex]5x -3 < -3 \\ 5x<0\\ x<0[/tex]
[tex]5x-3 < -3\ \ \ \ /+3\\5x-3+3 < -3+3\\5x < 0\ \ \ \ /:5\\x < 0\\\\x\in\mathbb{R^+}\Rightarrow x\in(0;\ \infty)[/tex]

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