The interval method is based on the property that a continuous function can only change its sign (from positive to negative or vice versa) by passing through zero. By identifying these "zeros" and marking them on a number line, we divide the line into intervals where the expression maintains a constant sign. 2. General Algorithm for Solving Inequalities
: Find the "zeros" by setting the numerator and denominator (if applicable) to zero. Mark Points on a Number Line : Solid dots : Used for non-strict inequalities ( ≤is less than or equal to ≥is greater than or equal to ) for points in the numerator. Hollow (open) dots : Used for strict inequalities ( is greater than gdz metod intervalov 4x
: Test a value from each interval or use the rule of alternating signs (starting from the rightmost interval). The interval method is based on the property