Solving inequalities

This course is a part of Algebra I, a 21-course Topic series from Khan Academy.

Learn how to solve linear inequalities with a single variable. For example, solve -3(x+1)>2x-7. Learn how to solve compound inequalities. For example, solve 2x+1>3 AND -x-5<4.

This course contains 5 segments:

Introduction to inequalities with variables

Algebraic inequalities (inequalities with variables) are useful for describing real-world situations. Learn how to write inequalities and graph them on the number line.

One-step inequalities

Learn how to solve (mathematical) inequalities. A key concept in this tutorial is flipping the inequality sign when multiplying or dividing both sides by a negative number.

Two-step inequalities

Learn how to solve more complex (mathematical) inequalities. Also learn to construct inequalities to model real-world situations.

Multi-step inequalities

Solve any possible linear inequality in one variable. For example, solve -3x-7

Compound inequalities

Learn how to solve compound inequalities. For example, solve 2x+1>3 AND -x-5<4.

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