# Solve inequality equations

Solving inequalities is very similar to solving equations. In both cases, you are trying to find the value of a variable that makes the equation true. However, there are a few key differences that you need to be aware of when solving inequalities.

## Solving inequality equations

First, when you multiply or divide both sides of an inequality by a negative number, you need to reverse the inequality sign. For example, if you have the inequality 4x < 12 and you divide both sides by -2, you would get -2x > -6. Notice that the inequality sign has been reversed. This is because we are multiplying by a negative number, so we need to "flip" the inequality around. Second, when solving an inequality, you always want to keep the variable on one side and the constants on the other side. This will make it easier to see what values of the variable will make the inequality true. Finally, remember that when solving inequalities, you are looking for all of the values that make the inequality true. This means that your answer will often be a range of numbers. For example, if you have the inequality 2x + 5 < 15, you would solve it like this: 2x + 5 < 15 2x < 10 x < 5 So in this case, x can be any number less than 5 and the inequality will still be true.

To solve inequality equations, you need to first understand what they are. Inequality equations are mathematical equations that involve two variables which are not equal to each other. The inequalities can be either greater than or less than. To solve these equations, you need to find the value of the variable that makes the two sides of the equation equal. This can be done by using the properties of inequality. For example, if the equation is x+5>9, then you can subtract 5 from both sides to get x>4. This means that the solutions to this inequality are all values of x that are greater than 4. Solve inequality equations by using the properties of inequality to find the value of the variable that makes the two sides of the equation equal.

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Solving inequality equations requires a different approach than solving regular equations. Inequality equations involve two variables that are not equal, so they cannot be solved using the same methods as regular equations. Instead, solving inequality equations requires using inverse operations to isolate the variable, and then using test points to determine the solution set. Inverse operations are operations that undo each other, such as multiplication and division or addition and subtraction. To solve an inequality equation, you must use inverse operations on both sides of the equation until the variable is isolated on one side. Once the variable is isolated, you can use test points to determine the solution set. To do this, you substitute values for the other variable into the equation and see if the equation is true or false. If the equation is true, then the point is part of the solution set. If the equation is false, then the point is not part of the solution set. By testing multiple points, you can determine the full solution set for an inequality equation.