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 144279: 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? Write an inequality and provide a value that may or may not be a solution to the inequality.
You substitute the value in question for the variable in the inequality then do any necessary arithmetic. 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?
Doesn't differ at all in practice. You substitute the value and then check to see if you get 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?
Only when you use an inequality sign that includes 'or equal' and have no solution set elements in common, whereas and both have the value 3 as a solution set element.
Write an inequality and provide a value that may or may not be a solution to the inequality. You should be able to handle this part.
