Q:

# How do you do inequalities?

A:

Many inequalities can be solved by simply adding, subtracting, multiplying and dividing both sides until the variable is by itself. It is important to remember that multiplying or dividing both sides by a negative number will reverse the inequality.

## Keep Learning

Credit: Image Source Image Source Getty Images

1. Set up the problem

When dealing with inequalities, the point of the problem is to get the variable by itself on one side of the equation. A standard example of an inequality is 4 - 2X > 14. This equation is relatively straightforward but provides good examples of the types of issues dealt with when solving inequalities.

2. Remove the constant value

Adding and subtracting to remove the constant value is an easy and safe way to make the problem more manageable and to allow further advancement. In the example equation, start by eliminating the 4 from the variable side of the equation by subtracting 4 from both sides; this results in the equation -2X > 10.

3. Multiply and divide to isolate the variable

The final step is multiplying or dividing to get the variable by itself. In the example equation, simply divide by the negative 2 on both sides to solve for X, which is equal to anything less than -5. Remember that when dividing or multiplying by a negative, you must reverse the direction of the inequality sign.

Sources:

## Related Questions

• A: Linear functions, inequalities and radical expressions are concepts included in online high school algebra. Graphing linear equations is another concept fo... Full Answer >
Filed Under:
• A: Solving inequalities and graphing solutions is accomplished through a multi-step process that begins with using inverse operations to solve the inequality,... Full Answer >
Filed Under:
• A: Tips for studying college algebra include spending significant time learning the basics of college algebra such as inequalities and exponents and mastering... Full Answer >
Filed Under:
• A: Algebra 1 focuses on the manipulation of equations, inequalities, relations and functions, exponents and monomials, and it introduces the concept of polyno... Full Answer >
Filed Under:
PEOPLE SEARCH FOR