On the same axes, sketch the graphs of $y=\frac{ab}{\left| x-1 \right|}$ and $y=b\left| x-a \right|$

Question

On the same axes, sketch the graphs of $y=\frac{ab}{\left| x-1 \right|}$ and $y=b\left| x-a \right|$, where $a$ and $b$ are positive constants such that $0 [3] Hence, solve the inequality $\left| x-a \right|\le \frac{a}{\left| x-1 \right|}$. [3]

Accepted Answer

(ii) $0\le x\le a+1,x e 1$ 	ext{ or } $\left\{ x\in \mathbb{R},0\le x < 1 \,\,\mathrm{or }\,1 < x \le a+1 ight\}$

2020 EJC P1 Q4

2020 EJC P1 Q4

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