Sketch the graph of $y=x+\sqrt{3}$ and $y=\left| 2-5x \right|$. Hence, using a graphical method,

Question

Sketch the graph of $y=x+\sqrt{3}$ and $y=\left| 2-5x \right|$. Hence, using a graphical method, solve exactly the inequality $x+\sqrt{3}\le \left| 2-5x \right|$.

Accepted Answer

$x\le \frac{2-\sqrt{3}}{6}$ or $x\ge \frac{\sqrt{3}+2}{4}$

Inequalities - Graphical Method

Inequalities - Graphical Method

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