SAT Overlapping Sets: A Guide to Venn Diagrams & Two-Way Tables

Questions about overlapping sets are a staple of the SAT Math section. Success depends on your ability to visually organize the data. This path will teach you to use both Venn diagrams and two-way tables to solve these problems with confidence.

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.

Section 2: SAT 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 SAT word problems involving overlapping sets.

Key SAT Skill: Two-Way Tables

Learn how to translate data between a Venn diagram and a two-way table. Mastering this is a critical skill for the SAT's Data Analysis questions.

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