Question

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 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? Write an inequality and provide a value that may or may not be a solution to the inequality.

Answer 1

An inequality shows two statements that are true only if one statement differs from the other by being greater than, or equal to the other. ex: x+1>3 changing > to = then x will be x=2 now substitute the > gives you x>2. Inequalities have multiple solutions, while equations have a unique solution. If the solution is the solution of an 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 that case x=the same value that x>= and that value is the unique solution to the equation formed from the inequality.
20+14>34 20+n>34 makes it a false statement
20+14=34 therefore 34=34 true

20+n>34
20+15>34 true
35>34 true
20+15=34 false
Hope this helps you understand it better