comparisons and operations Equations of the form: product=constant This task focuses on equations one side of which is a product of linear functions and the other side a constant function. For example: (x + 2)(2x - 6) = 4. You will create such equations with given properties. Change one of the sides of the given equation to obtain a modified equation with certain properties. If you think it cannot be done, explain why. Begin with the equation: (1) Leave the left side as is and change the right side to different constant functions to obtain equations with the following properties:   An equation with one positive solution and one negative solution. An equation with two negative solutions. An equation in which one of the solutions is 4. An equation in which one of the solutions is 5. An equation that has no solution. An equation that has only one solution. An equation in which the solutions are 1 and 9. An equation in which the solutions are 3 and 11. (2) Again, starting with the equation (x - 4)(x - 6) = 8: Leave the right side as is and change the left side to other functions that are products of linear functions, to obtain equations with the properties listed above. 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