Saturday, August 21, 2010

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 with an inequality sign, is there ever a time when the same value will be a solution to both the equation and the inequality? Write an inequality and provide a value that may or may not be a solution to the inequality.How do you know if a value is a solution for an inequality?
with equality you get a set of numbers for the solution (they are usually discrete and finite)





with inequality you get an interval of numbers for the solution if they exist.





for example





x + 3 %26lt; 4





then 0 is a solution


since


0 + 3 %26lt; 4 is a valid mathematical 'inequation'.

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