Sketch the graphs of $y=\left| 1-2{{x}^{2}} \right|$ and $y-8x-1=0$ on a single diagram. Hence s

Question

Sketch the graphs of $y=\left| 1-2{{x}^{2}} \right|$ and $y-8x-1=0$ on a single diagram. Hence solve the following inequalities, giving exact values in ach answer: $\left| 1-2{{x}^{2}} \right|-8x-1>0$, $\left| 1-2{{x}^{2}} \right|-8\left| x \right|-1>0$.

Accepted Answer

(i) $\left\{ x\in \mathbb{R}:x2+\sqrt{5} ight\}$ (ii) $\left\{ x\in \mathbb{R}:x>2+\sqrt{5}\,\,	ext{or }\,x<-\left( 2+\sqrt{5} ight) ight\}$

HCI Tutorial 3A Question 3

HCI Tutorial 3A Question 3

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