GRE Venn Diagrams: A Guide to Overlapping Sets

Overlapping sets are a common topic on the GRE, testing your ability to work logically through word problems. This guided path will teach you to use Venn diagrams to visually map out problems and master the strategies needed for Quantitative Comparison.

Section 1: The Core Concepts

Foundation: Union & Intersection

Start with the fundamental definitions of a set, a union, and an intersection. This is the basic vocabulary for all overlapping sets problems.

The Core Formula: Inclusion-Exclusion

Understand the "double-counting trap" and see a step-by-step visualization of the formula for a two-set union.

The Inclusion-Exclusion Principle (3 Sets)

Extend the formula to three sets. Understand why we add back the central intersection.

Section 2: GRE Application & Strategy

Application: The Two-Set Diagram

Master the four distinct regions of a standard two-set diagram. This visual tool is the key to solving most GRE Venn diagram problems.

Advanced: The Three-Set Diagram

Level up by exploring the eight distinct regions of a three-set diagram. Master this to solve the most complex GRE logic puzzles.

GRE Strategy: Quantitative Comparison

Learn to solve QC problems by testing extreme scenarios, like "maximum overlap," to find the range of possible values.

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