On the same diagram, sketch the graphs of $y = |x - a|$ and $y = \frac{1}{|x - a|}$, where

Question

On the same diagram, sketch the graphs of $y = |x - a|$ and $y = \frac{1}{|x - a|}$, where $a$ is a real constant such that $a > 1$. You should show clearly the equations of any asymptotes and axial intercepts of both graphs.[3] Hence, or otherwise, solve the inequality $|x - a| > \frac{1}{|x - a|}$.[3]

Accepted Answer

(b) $x a + 1$

2025 TMJC P1 Q1

2025 TMJC P1 Q1

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