Inequalities - Graphical Method

Inequalities - Graphical Method

Sketch the graph of \(y=\left| 2x+3 \right|-3x\). Hence, use this graph to find the range of values of \(x\) for which \(3x-2\le \left| 2x+3 \right|\le 3x+6\).

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Answer:\(\left\{ x\in \mathbb{R}:-\frac{9}{5}\le x\le 5 \right\}\)

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