Solve for x, the inequalities in 4x + 3 ≥ 2x + 17, 3x – 5 < – 2. contexto.140 3 years ago Since, equations [i] and [ii] cannot be possible simultaneously, We conclude that x has no solution.
![\[\begin{array}{*{35}{l}} 4x\text{ }+\text{ }3\text{ }\ge \text{ }2x\text{ }+\text{ }17 \\ \Rightarrow ~4x\text{ }\text{ }-2x\text{ }\ge \text{ }17\text{ }\text{ }-3 \\ \Rightarrow ~2x\text{ }\ge \text{ }14 \\ \Rightarrow ~x\text{ }\ge \text{ }7\text{ }\ldots \left( i \right) \\ Also, \\ 3x\text{ }\text{ }-5\text{ }<\text{ }\text{ }2 \\ \Rightarrow ~3x\text{ }<\text{ }3 \\ \Rightarrow ~x\text{ }<\text{ }1\text{ }\ldots \left( 2 \right) \\ \end{array}\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-129321b765e4c2521fa9e969114c0c08_l3.png "Rendered by QuickLaTeX.com")
