Solve : x + 5 > 4x – 10 contexto.140 3 years ago Dividing both sides by 3, we get ∴ The solution of the given inequation is (-∞, 5).
![\[\begin{array}{*{35}{l}} x\text{ }+\text{ }5\text{ }>\text{ }4x\text{ }-\text{ }10 \\ x\text{ }+\text{ }5\text{ }-\text{ }5\text{ }>\text{ }4x\text{ }-\text{ }10\text{ }-\text{ }5 \\ x\text{ }>\text{ }4x\text{ }-\text{ }15 \\ 4x\text{ }-\text{ }15\text{ }<\text{ }x \\ 4x\text{ }-\text{ }15\text{ }-\text{ }x\text{ }<\text{ }x\text{ }-\text{ }x \\ 3x\text{ }-\text{ }15\text{ }<\text{ }0 \\ 3x\text{ }-\text{ }15\text{ }+\text{ }15\text{ }<\text{ }0\text{ }+\text{ }15 \\ 3x\text{ }<\text{ }15 \\ \end{array}\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-a07bcf599b4e7a819b76482b68f73ca4_l3.png "Rendered by QuickLaTeX.com")
![\[\begin{array}{*{35}{l}} 3x/3\text{ }<\text{ }15/3 \\ x\text{ }<\text{ }5 \\ \end{array}\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-6959bbd3954953c619987a632c5690a6_l3.png "Rendered by QuickLaTeX.com")
