Use (solid dots) if the inequality includes equality ( ≤is less than or equal to ≥is greater than or equal to ), provided the point is not in the denominator. 3. Determine sign intervals
To use the interval method, first set each factor or the numerator and denominator equal to zero to find the "critical points." These are the values where the expression can change its sign. For instance, if you have , your critical points are 2. Plot on a number line
). You can find visual walkthroughs and step-by-step breakdowns for this specific problem on Skysmart or watch a video explanation on Rutube . 5. Write the interval notation Express your final answer using interval notation, such as reshebnik po matematike 9 klass 325 nomur makarychev
terms are positive, the rightmost interval is usually positive, and signs alternate at each simple root. 4. Shade the solution
The solution is obtained by applying the interval method to the inequality to determine the specific range of values that satisfy the condition. Use (solid dots) if the inequality includes equality
Draw a horizontal number line and mark your critical points in increasing order. Use (light dots) if the inequality is strict ( is greater than
Test a value from each resulting interval on the number line by plugging it back into the original expression to see if the result is positive ( ) or negative ( −negative ). Alternatively, check the leading coefficients: if all For instance, if you have , your critical points are 2
This specific exercise typically requires you to find the values of