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
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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) (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.
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