Solve the following inequalities $\left| x-\frac{2}{x} \right|$\frac{1}{{{\left( x-1 \right)}^{2}}}\

Question

Solve the following inequalities $\left| x-\frac{2}{x} \right|$\frac{1}{{{\left( x-1 \right)}^{2}}}\ge \left| 3x-5 \right|$, graphically.

Accepted Answer

(a) -√(4+2√3) < x < -√(4-2√3) or √(4-2√3) < x < √(4+2√3); (b) 0.472 ≤ x ≤ 2, x ≠ 1

NJC Inequalities Tutorial Q4