comparisons and operations
Quadratic inequality: changing the solution

Consider the following inequality:

The solution is shown in red:

Change one of the sides of the inequality to obtain inequalities with the following solutions:
A

1. The solutions:


2. The solutions:


Explain your answers.




Consider the following inequality:

The solution is shown in red:

Change one of the sides of the inequality to obtain inequalities with the following solutions:
B

1. The solutions:


2. The solutions:


Explain your answers.








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
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