Polynomial and Rational Inequalities




To solve a polynomial or rational inequality,
1. Factor the polynomial completely over the real numbers.
2. Mark the zeros of the polynomial on a number line.
3. Determine the sign of the polynomial on each of the resulting intervals.
4. Select the intervals corresponding to the sign of the original inequality.





Question 1: Solve the inequality x2 - 11x + 30 > 0.













Question 2: Solve the inequality x3 - 7x2 + 6x < 0











Question 3: Solve the inequality x4 - 1 > 0.












Question 4: Solve the inequality x4 - 4x2 Question 2: Solve the inequality x3 - 7x2 + 6x < 0

0.











Question 5: Solve the inequality x2 + x - 20 < 0













Press the Submit button to see the results.