SOLUTION: 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 equa

Algebra ->  Inequalities -> SOLUTION: 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 equa      Log On


   

Question 323569: 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?
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
It's the same thing as determining if a value is a solution to an equation.

If your equation is x + 5 > 7 and you solve it to get x > 2, then any value of x > 2 should be a solution to the equation.

The only time when the same value is a solution to both the equality and the inequality is if the inequality is expressed as x+5 >= 7

Then the solution to this equation is x >= 2.

x = 2 solves the equality part of this equation.
x > 2 solves the inequality part of this equation.

If the equation is x > or x < then x = cannot be a solution to the pure inequality.

I'm presuming you are asking if:

x+5 > 7 gets x > 2 which is valid.

x+5 = 7 gets x > 2 as well?

Answer has to be no.