Quadratic Inequalities




1. Solve the inequality as though it were an equation. The real solutions to the equation are boundary points for the solution to the inequality.
2. Test points from each of the regions created by the boundary points.
3. If a test point satisfies the original inequality, then the specific region is part of the solution.
4. Represent the solution in graphic form and in solution set form.







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 < 0.











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













Question 6: Solve the inequality x2 + 2x + 1 < 0













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