Dealing with rational inequalities is like dealing with inequalities that feature rational expressions - these are expressions that take the form of a fraction in which both the numerator and the denominator are polynomials. The challenge when solving these inequalities lies in pinpointing the variable values that satisfy the inequality. It's a fascinating blend of concepts drawn from both inequality and polynomial equations.
| Topic | Problem | Solution |
|---|---|---|
| None | Solve the rational inequality \(\frac{x^2 - 4}{x^… | First, factorize the numerator and denominator: \(\frac{(x-2)(x+2)}{(x-2)(x-3)} \geq 0 \) |