Solving a Quadratic Inequality with Domain Restrictions
Solve the inequality \(2x^2 – 8x + 6 \geq 0\) for \(x\) in the domain \([1, 3]\).
Part a
Factorise the denominator of the rational expression \(\frac{2x}{x^2-4}\) and set up the expression for partial fraction decomposition by expressing \(\frac{2x}{x^2-4}\) as \(\frac{A}{x-2} + \frac{B}{x+2}\).