By expressing $\frac{3x-7}{\left( x+3 \right)\left( x-2 \right)}-1$ as a single simplified fractio

Question

By expressing $\frac{3x-7}{\left( x+3 \right)\left( x-2 \right)}-1$ as a single simplified fraction, solve exactly the inequality $\frac{3x-7}{\left( x+3 \right)\left( x-2 \right)}<1$.[3] Hence, solve exactly the inequality $\frac{3{{\mathrm{e}}^{x}}-7}{\left( {{\mathrm{e}}^{x}}+3 \right)\left( {{\mathrm{e}}^{x}}-2 \right)}<1$.[2]

Accepted Answer

$x2$. Replace $x$ by ${{	ext{e}}^{x}}$, $x>\ln 2$

2024 CJC Promo Q2

2024 CJC Promo Q2

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