Free GRE Inequalities Questions Prep

Inequalities focus on understanding value ranges, relative comparisons, and boundary conditions in GRE Quantitative Reasoning. Several inequalities questions appear on the exam and thorough coverage of this concept is a must in a worthy GRE prep course. This page supports end to end preparation through focused sub-topic wise video lessons, solved examples, and direct application on GRE style questions, followed by a comprehensive GRE like practice set. Use these carefully designed resources to build clear concepts and apply your learning across GRE exercises, GRE sectional practice tests, and GRE full length practice tests.

The MASTERCLASS Approach for GRE Inequalities Prep

If you prefer long, comprehensive video lessons that bring all ideas together, watch the Masterclass.

The MODULAR Approach for GRE Inequalities Prep

If you prefer short, bite sized video lessons that focus on one concept at a time, work through the concept wise modules below.

Overview of Inequalities | GRE Quant

Inequalities compare quantities to show when one value is greater than, less than, or equal to another using symbols such as >, <, ≥, and ≤, allowing comparison based situations to be expressed as clear mathematical conditions and limits. They may involve simple comparisons or layered expressions with multiple terms, and they appear frequently in GRE Quant questions that depend on reading and applying conditions accurately. This conceptual video provides a focused introduction to inequalities, explains what they represent, how they differ from equations, how they get interpreted in practice, and which operations are valid when working with them, giving you a strong foundation to approach inequality based questions with clarity.

Inequalities Based on Factorization | GRE Quant

Factorization based inequalities focus on identifying value ranges that satisfy an inequality instead of a single solution by breaking expressions into factors and examining where results turn positive, negative, or zero. This approach often uses the sign chart method, also known as the wavy curve method, and appears frequently in GRE Quant questions involving products or higher degree expressions. The video explains this method in a clear and structured flow, shows how factorization supports inequality solving, demonstrates how sign charts get built, walks through interval testing step by step, and highlights key points that demand attention, giving you a confident and efficient path to apply the method in practice.

Inequalities Based on Absolute Value (Modulus) | GRE Quant

Absolute value inequalities describe conditions using distance on the number line, where the modulus symbol shows how far a value lies from zero without caring about direction, such as |x| ≤ 2 representing all values within a distance of two from zero. These inequalities frame distance based conditions with precision and appear often in GRE Quant questions that test clear interpretation of ranges. The video lesson explains how modulus based expressions work, shows how different inequality signs shape the solution range, demonstrates how these expressions convert into simpler forms, and then applies the full approach to GRE style questions so the setup and solution path feel clear, efficient, and satisfying to use.

Inequalities Based on Signs | GRE Quant

Sign-based inequalities ask you to decide when an expression becomes positive, negative, or zero under specific conditions. You focus on how signs behave through multiplication, division, roots, and powers, where each operation follows clear rules that keep your reasoning crisp and accurate. The video breaks this sign logic into simple steps, shows how signs change inside expressions, and explains how those changes shape the right inequality decisions. It then applies the method to GRE style questions, showing how strong sign tracking leads you to precise, efficient solution paths.

Inequalities Based on -1 to 1 Range | GRE Quant

Values that fall between minus one and one follow special patterns that strongly shape inequality outcomes. When you square numbers in this range, their size moves closer to zero, while squaring larger numbers pushes values upward, and reciprocals reverse this behavior in a clear and predictable way. Square roots add another layer, where numbers between zero and one shift closer to one after the operation. The video explains these movements with sharp clarity, shows why this range creates powerful turning points in inequalities, and applies the logic to GRE style questions so these patterns feel natural, efficient, and ready to use.

Plugging Values in Inequalities | GRE Quant

This approach teaches you how to explore an inequality by plugging in well-chosen numbers and watching how the expression responds. You learn to test values from four powerful ranges — above one, between zero and one, between minus one and zero, and below minus one, since both sign and size shift in meaningful ways during squaring, reciprocals, and square roots. The video lesson shows how to pick values with intent, track sign and magnitude with precision, and read results with clarity and purpose. It then applies the method to GRE style inequality questions so this strategy feels structured, efficient, and fully reliable when solving real problems.