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A number is called a "solution" for an inequality if, when you plug that number into the variable, the inequality becomes true.

For example, 4 is a solution to the inequality "x + 5 < 10", because when you plug in 4 for x, you get "4 + 5 < 10", which is true. (4 plus 5 is 9, which is less than 10.)

On the other hand, 6 is not a solution to the inequality "x + 5 < 10", because when you plug in 6 for x, you get "6 + 5 < 10", which is false. (6 plus 5 is 11, which isn't less than 10.)

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Q: How do you know if a value is a solution for an inequality?
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Related questions

What is a value or values that make an inequality true?

a solution of inequality


How is solving for a specified variable in a formula different to finding a solution for an equation or inequality?

With a formula, you know the variable's value, and you have to calculate the value of the function of it. With an equation, you know the function's value, and you have to calculate the value of the variable.


How is solving for a specified variable in a formula similar to finding a solution for an equation or inequality?

With a formula, you know the variable's value, and you have to calculate the value of the function of it. With an equation, you know the function's value, and you have to calculate the value of the variable.


What is the definition of solution in math?

In mathematics, a solution refers to a value or set of values that satisfies an equation, inequality, or system of equations. It is the value or values that make the equation or inequality true.


How do tell the solution of an inequality?

Substitute the values of the variables into the inequality. If the inequality is true then they are a solution, if not, they are not.Substitute the values of the variables into the inequality. If the inequality is true then they are a solution, if not, they are not.Substitute the values of the variables into the inequality. If the inequality is true then they are a solution, if not, they are not.Substitute the values of the variables into the inequality. If the inequality is true then they are a solution, if not, they are not.


Is there ever a time when the same value will be a solution for both the equation and the inequality?

Yes, but only when the inequality is not a strict inequality: thatis to say it is a "less than or equal to" or "more than or equal to" inequality. In such cases, the solution to the "or equal to" aspect will satisfy the corresponding inequality.


Any value or values that make an equation or inequality true?

The solution.


Which value of x is a solution of the inequality 25x -100 250?

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When graphing circles how do you know which way to shade the line?

When graphing inequalities you use a circle to indicate a value on a graph. If the value is included in the solution to the inequality you would fill in the circle. If the value that the circle represents is not included in the solution you would leave the circle unshaded.


Solve the inequality and enter your solution as an inequality comparing the variable to the solution -3 plus x10?

Solve the inequality and enter your solution as an inequality comparing the variable to the solution. -33+x&lt;-33


If you replace the equal sign of an equation an 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?

Yes, when the inequality has a less that or equal to sign, or a greater than sign or equal to sign, then the equal sign can be replaced and get a solution that is common to both the equation and the inequality. There can also be other solutions to the inequality, where as the solution for the equation will be a valid one.


A solution for the inequality 3x-1is?

4