Question 136136
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<=5}}}, value 6.  Substitute 6 for x.  {{{6<=5}}} is a clearly <i><b>false</i></b> statement, therefore 6 is <i><b>not</i></b> an element of the solution set of {{{x<=5}}}.