SOLUTION: How do you know if a value is a solution for an inequality? How is this different from determining if a value is a solution to an equation? If you replace the equal sign of an equa
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Question 148455: How do you know if a value is a solution for an inequality? How is this different from determining if a value is a solution to an equation? If you replace the equal sign of an equation and put an inequality sign in its place, is there ever a time when the same value will be a solution to both the equation and inequality?
Answer by mangopeeler07(462) (Show Source): You can put this solution on YOUR website!
You determine if a value is a solution to an inequality by plugging it back into the inequality (along with some other numbers within the indicated range). You determine if a value is a solution to an equation by plugging it back into the equation. So you do the same thing in both situations. There is always one value (two for absolute value equations) that is a solution to both an equation and the inequality form of the equation.
There are more solutions to inequalities than equations because equations are more specific, and the solutions of inequalities are continuous. An equation must equal something, whereas an inequality can be "more than", "less than", "more than or equal to", or "less than or equal to". All of which have a wider range than strictly "equal to".
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