SOLUTION: Okay, let's say that we start with 3x - 6 > 12. We simplify it to the solution set: {x| x > 6}. Here's my question, is 8 a solution? If yes, why? Shouldn't 6 be the solution

Algebra ->  Inequalities -> SOLUTION: Okay, let's say that we start with 3x - 6 > 12. We simplify it to the solution set: {x| x > 6}. Here's my question, is 8 a solution? If yes, why? Shouldn't 6 be the solution      Log On


   

Question 317711: Okay, let's say that we start with 3x - 6 > 12. We simplify it to the solution set: {x| x > 6}.
Here's my question, is 8 a solution?
If yes, why? Shouldn't 6 be the solution?
If no, why?

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Unlike the solutions to equations, where you have only one solution for a linear equation, the solutions to inequalities involve a range of values rather than just one.
3x-6+%3E+12
3x+%3E+18
x+%3E+6 This solution indicates that all values that are greater than 6 will satisfy this inequality.
Notice that 6 cannot be a solution because 6 is not greater than 6, is it?
To check the solution set, simply substitute any value for x and see if the inequality holds true. If it does, then that value belongs in the solution set, and if it doesn't, then it does not.