There are several ways to represent various kinds of linear inequalities. In this article, let us learn about linear inequalities, solving linear inequalities, graphing linear inequalities.

A linear programming problem seeks to optimize (find a maximum or minimum value) a function (called the objective function) subject to a number of constraints on the variables which, in general, are …

Free linear inequalities math topic guide, including step-by-step examples, free practice questions, teaching tips and more!

Aug 16, 2025 · When there is a solution to an equation such as x = 4, this solution is unique and is the only solution that makes the statement true. However, with inequalities, the solution is an interval of …

Dec 9, 2025 · Linear inequalities are graphed with a dotted or solid line and then shading based on the sign. Learn how to graph inequalities with example problems!

Solving one-variable linear inequalities is almost exactly like solving the one-variable linear equations. But, where the solutions to linear equations are single values, the solutions to linear inequalities are …

Linear inequalities with one variable can be solved by algebraically manipulating the inequality so that the variable remains on one side and the numerical values on the other.

Jun 8, 2024 · 7x – 12 > 16 and 5x + 11 < 2 are examples of linear inequalities. Adding or subtracting a number on or from both sides of the inequality does not change its direction. If a < b, then a + c < b + …

We can see the y = x + 2 line, and the shaded area is where y is less than or...

Oct 21, 2025 · Explore the concept of linear inequalities with detailed explanations, examples, and problem-solving techniques. Ideal for students and teachers.