How do you kknow if a value is a sloution 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 and inequality sign, is there ever a time when the same value will be a solution to both the equation and the inequality?How do you kknow if a value is a sloution for an inequality?
Well, an inequality shows two statements that are true if and only if one statement differs from the other by being greater than, less than, or equal to the other.





For example:





x + 1 %26gt; 3





If you change the %26gt; to =, then we get x to be:





x = 2





Now we re-substitute the %26gt;





x %26gt; 2





Meaning that x + 1 %26gt; 3 is true ONLY for all x %26gt; 2. Therefore x = 2 is the solution of the equation, but 2 is NOT a solution of the inequality.





Inequalities have multiple solutions, while equations have unique solutions.





If the solution is a solution of the inequality, it WILL NOT be a solution of the equation formed from the inequality UNLESS the inequality has a greater than or equal to sign OR a less than or equal to sign, in which case, x = the same value that x %26gt;=, and that value is the UNIQUE solution to the equation formed from the inequality..





For example:





x + 3 %26gt; 4





x %26gt; 1





Let's just choose 2 for the value, since it is the closest whole number above 1:





2 + 3 %26gt; 4





5 %26gt; 4 TRUE





2 + 3 = 4





5 = 4 FALSE





And if you look here, if we chose x = 1





1 + 3 %26gt; 4 FALSE





1 + 3 = 4





4 = 4 TRUE





Another one:





x + 1 %26gt;= (greater than or equal to) 4





x %26gt;= 3





We'll choose x = 3





3 + 1 %26gt;= 4





4 %26gt;= 4 TRUE





3 + 1 = 4





4 = 4 TRUE





And there you go.How do you kknow if a value is a sloution for an inequality?
inequalities tend to have more than one answer, while equations rarely have more than one. also, it is always best to check your solution for an inequality, because there is a one in three chance that it is incorrect.
Simple answer is yes.





Replace the inequality with a %26gt;= (greater than or equal).
An inequality usually has an interval (single variable)or a region (2 variables) for a solution.





An equation (in one variable) typically has a unique solution -- or a number of unique solutions depending on the highest power of the variable.