How do you know if a value is a solution for an inequality

# How do you know if a value is a solution for an inequality...

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How do you know if a value is a solution for an inequality? Substitute the value in question for the variable in the inequality. If the result is a true statement, then the value was an element of the solution set. If the result is false, the value is not an element of the solution set. How is this different from determining if a value is a solution to an equation? The method has no difference. Substitute the value. Check for a true result. 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? The same value will be a solution to both the equation and the inequality when you use an
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Unformatted text preview: inequality sign that is the 'or equal' variety. X = 7 change the equal sign with a greater than or less than sign (x > 7). The 7 is the solution for both the equation and the inequality. Now replace the equal sign with a greater than sign (x > 7). The equation and the equality have no elements of their solution sets in common. The only solution set to the equation is the number 7. There are endless/infinite number elements in the elements in the solution set to the inequality, but none of those elements are the number Write an inequality and provide a value that may or may not be a solution to the inequality....
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## This note was uploaded on 08/23/2010 for the course MAT 116 taught by Professor Universityofphoenix during the Spring '09 term at University of Phoenix.

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