comparisons and operations Inequality between two quadratic functions This is a graphic representation of the inequality: x²<9-(x-2)² Change one of the sides of the inequality to obtain new inequalities with the following properties: 1. All solutions of the inequality are negative. 2. All solutions of the inequality are positive. 3. The inequality has no solutions. 4. All numbers are solutions of the inequality. 5. The solutions of the inequality are: -1 < x < 1 6. The solutions of the inequality are: x < 0 or x > 2 7. The solutions of the inequality are: x < 2 Comparisons and translations Comparisons and stretching Comparisons and algebraic operations Comparisons and transformations Algebraic operations on comparisons Product = constant Changing an equation Changing an equation by adding a function Constructing inequalities Inequality: linear and quadratic Inequality: two quadratic functions Inequality: changing the solution Internet providers