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 - 3x - … | Step 1: Factor the numerator and denominator separately. We get \(\frac{(x-4)(x+1)}{(x-2)(x+1)} > 0… |