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 with an inequality sign, is there ever a time when the same value will be a solution to both the equation and the inequality? Write an inequality and provide a value that may or may not be a solution to the inequality.How do you know if a value is a solution for an inequality?
Solutions of inequalities are regions rather than points. The way you can check if a point is a solution to an inequality, simply plug in the values and see if the inequality holds.


For example,


To check if point (0, 0) is a solution to 3x + 4y %26lt; 5,


Plug in x=0 and y=0,


3(0) + 4(0) %26lt; 5


0 %26lt; 5 Correct! Then (0, 0) is a solution to the inequality 3x + 4y %26lt; 5





We use this method to shade the correct part of the x-y plane when there is a single inequality.





If there is a set of more than one inequality, you should shade the regions that satisfy the inequalities and mark the region that satisfies all inequalities at a time.





In terms of your last question,





(0, 0) satisfies 3x + 4y = 0


3(0) + 4(0) = 0 = 0 Correct!





but it does not satisfy 3x + 4y %26lt; 0


3(0) + 4(0) %26lt; 0


0 %26lt; 0 Not Correct!