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A hint to get started

A graphical inequality and exponential substitution

Solve ∣x2+3∣>3−x2\left|\dfrac{x}{2}+3\right|>3-x^2. Hence, solve ∣ex2−3∣>3−e2x\left|\dfrac{e^x}{2}-3\right|>3-e^{2x}.

[2007/NJC/I/2]

CJC · Discussion · Question 3

Choose a substitution that matches both the absolute-value expression and the squared term.

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