Solving Inequalities, and Comparison to Solving Equations
How do you know if a given choice of values of the variables in a given inequality is a solution of that inequality? How is this different from determining if a given choice of values of the variables in a given equation is a solution of that equation? If you replace the equals sign in an equation with an inequality sign, is there ever a time when the same choice (of values of the variables) will be a solution of both the equation and the inequality?
An explanation of how to tell whether a given choice of values of the variables in a given inequality is a solution of that inequality is provided. That procedure is compared with how to tell whether a given choice of values of the variables in a given equation is a solution of that equation.
The question of whether there is ever a time when a given choice of values of the variables in a given equation will be a solution of that equation AND a solution of the inequality which is obtained by replacing the equals sign (in the equation) with an inequality sign is explained in detail (and illustrated with examples).
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