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Solving one step inequalities

less than
Greater than
PEN CIRCLE – is used for less than greater than and not equal. This means the number is not included in the solution. where it starts
CLOSED CIRCLE – is used for less than or equal to , greater than or equal to and equal to . This means the number is included in the solution. where it starts

Number Line – used for graphing solutions to inequalities

Before we can learn how to solve one-step inequalities, let’s remind ourselves of a few basic information regarding inequalities.

The word inequality means a mathematical expression in which the sides are not equal to each other. Basically, there are five inequality symbols used to represent equations of inequality.

When dividing or multiplying by a negative number flip the sign.
Example: - 6x greater than - 36
- 6x greater than- 36
- 6 - 6
x less than 6

How do we solve one step inequalities?

How do we solve one step inequalities by addition and subtraction?
How do we solve one step inequalities by Multiplication and Division?

How to Solve Single-step Inequalities?
Solving a single-step inequality is a straightforward process as it sounds. Only one step is required to solve the equations completely.

The main objective of solving one-step inequality is to isolate a variable on one side of the inequality symbol and make the variable’s coefficient equal to one.

The strategy of isolating a variable entails the use of opposite operations. For instance, to move a number subtracted from the other side of the inequality, you should add.

Five steps are included to solve one step inequalities:
Step 1: Solving Single-Step Inequalities by Addition
step 2: Solving Single-Step Inequalities by Subtraction
step 3: One-step inequalities are solved by multiplying both sides of the equation by a number.
step 4: One-step inequalities are solved by dividing the same number into both sides of the equation.
step 5: One-step inequalities are solved by multiplying the reciprocal coefficient of the term with a variable to both sides of the equation.

Inequalities can have a range of answers. The solutions are often graphed on a number line in order to visualize all of the solutions. Multi-step inequalities are solved using the same processes that work for solving equations with one exception. When you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol. The inequality symbols stay the same whenever you add or subtract either positive or negative numbers to both sides of the inequality.

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