Question 144279
<b> How do you know if a value is a solution for an inequality?</b> 


   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.


<b> How is this different from determining if a value is a solution to an equation?</b> 


   Doesn't differ at all in practice.  You substitute the value and then check to see if you get a true result.


<b> 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?</b> 


   Only when you use an inequality sign that includes 'or equal'  {{{x<3}}} and {{{x=3}}} have no solution set elements in common, whereas {{{x<=3}}} and {{{x=3}}} both have the value 3 as a solution set element.


<b> Write an inequality and provide a value that may or may not be a solution to the inequality.</b>   You should be able to handle this part.