![\[\begin{array}{*{35}{l}} x/5\text{ }<\text{ }\left( 3x-2 \right)/4\text{ }-\text{ }\left( 5x-3 \right)/5 \\ x/5\text{ }<\text{ }\left[ 5\left( 3x-2 \right)\text{ }-\text{ }4\left( 5x-3 \right) \right]/4\left( 5 \right) \\ x/5\text{ }<\text{ }\left[ 15x\text{ }-\text{ }10\text{ }-\text{ }20x\text{ }+\text{ }12 \right]/20 \\ x/5\text{ }<\text{ }\left[ 2\text{ }-\text{ }5x \right]/20 \\ \end{array}\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-38450ac0b612018aee8a4e6cdd20432b_l3.png "Rendered by QuickLaTeX.com")
Multiplying both the sides by 20 we get,
![\[\begin{array}{*{35}{l}} x/5\text{ }\times \text{ }20\text{ }<\text{ }\left[ 2\text{ }-\text{ }5x \right]/20\text{ }\times \text{ }20 \\ 4x\text{ }<\text{ }2\text{ }-\text{ }5x \\ 4x\text{ }+\text{ }5x\text{ }<\text{ }2\text{ }-\text{ }5x\text{ }+\text{ }5x \\ 9x\text{ }<\text{ }2 \\ \end{array}\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-567850ea88e57b8374af2c6373123e5d_l3.png "Rendered by QuickLaTeX.com")
Dividing both sides by 9, we get
![\[\begin{array}{*{35}{l}} 9x/9\text{ }<\text{ }2/9 \\ x\text{ }<\text{ }2/9 \\ \end{array}\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-8bfce0d1ab0377228f4c24e3fc065939_l3.png "Rendered by QuickLaTeX.com")
∴ The solution of the given inequation is (-∞, 2/9).
Multiplying both the sides by 20 we get,
Dividing both sides by 9, we get
∴ The solution of the given inequation is (-∞, 2/9).