SOLUTION: How do you konw if a value is a solution for an inequality? How is this different from determining if a value is a solution to an equation with an inequality sign? Is there ever a

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Question 136136: How do you konw if a value is a solution for an inequality? How is this different from determining if a value is a solution to 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?

Can you write an inequality and provide the value that may or may not be a solution to the inequality?
Answer by solver91311(24713) About Me  (Show Source):
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If you are testing a particular value, there is no difference between determining whether that value is a solution to an inequality or an equation. You substitute the value(s) for the variable(s) and do whatever arithmetic is required to be able to see if you have a true statement or not.

Is there ever a time when the same value will be a solution to both the equation and the inequality? Only when the relationship operator in the inequality is inclusive of equals, in other words if the inequality sign is either "greater than or equal" or "less than or equal"

x%3C=5, value 6. Substitute 6 for x. 6%3C=5 is a clearly false statement, therefore 6 is not an element of the solution set of x%3C=5.