# Ch 17: NY Regents - Sets: Tutoring Solution

### About This Chapter

## How it works:

- Begin your prep for the integrated algebra exam.
- Identify the sets concepts that you're stuck on.
- Find fun videos on the topics you need to understand.
- Press play, watch and learn!
- Complete the quizzes to test your understanding.
- As needed, submit a question to one of our instructors for personalized support.

## Who's it for?

This chapter of our NY Regents Exam - Integrated Algebra tutoring solution will benefit any student who is trying to learn about sets and earn passing scores on the exam. This resource can help students including those who:

- Struggle with understanding types of mathematical sets, Venn diagrams, two-way tables or any other sets topic
- Have limited time for studying
- Want a cost effective way to supplement their math learning
- Prefer learning math visually
- Find themselves struggling with preparation for the NY Regents integrated algebra exam
- Cope with ADD or ADHD
- Want to get ahead in preparing for the NY Regents integrated algebra exam
- Don't have access to NY Regents prep materials

## Why it works:

**Engaging Tutors:**We make learning sets simple and fun.**Cost Efficient:**For less than 20% of the cost of a private tutor, you'll have unlimited access 24/7.**Consistent High Quality:**Unlike a live algebra tutor, these video lessons are thoroughly reviewed.**Convenient:**Imagine a tutor as portable as your laptop, tablet or smartphone. Learn about sets on the go!**Learn at Your Pace:**You can pause and rewatch lessons as often as you'd like, until you master the material.

## Learning Objectives

- Explain what a mathematical set is.
- Become familiar with the different types of subsets.
- Learn how to find the Cartesian product.
- Be able to read Venn diagrams.
- Understand how categorical propositions are written.
- Change categorical propositions into standard form.
- Define two-way tables.

### 1. Mathematical Sets: Elements, Intersections & Unions

Mathematical sets are collections of objects or concepts that can be joined together to become mathematical building blocks. Learn about mathematical sets and understand their function in mathematics. Explore the roles of elements, intersections, and unions in mathematical sets.

### 2. Cardinality & Types of Subsets (Infinite, Finite, Equal, Empty)

Sets are a collection of objects that have a similar quality, and the number of elements of a set is referred to as the cardinality of the set. Learn about sets, the difference between infinite and finite sets, the difference between equal and equivalent sets, and how to determine the cardinality of a set.

### 3. How to Find the Cartesian Product

The Cartesian Product is the result of putting the elements of two different sets together and is written in the form of 'A' x 'B'. Learn how to find the Cartesian Product with examples.

### 4. Venn Diagrams: Subset, Disjoint, Overlap, Intersection & Union

Venn diagrams show the relationships and operations between a collection of elements. Learn about the concepts and operations that can be illustrated in a Venn diagram, such as subsets, disjoints, overlaps, intersections, unions, and complements.

### 5. Categorical Propositions: Subject, Predicate, Equivalent & Infinite Sets

A categorical proposition is a type of logical statement that relates one set, the subject, to a second set, the predicate. Examine the four categorical proposition sets and discover the definitions of equivalent and infinite sets.

### 6. How to Change Categorical Propositions to Standard Form

Categorical propositions can be changed into the A, E, I, or O standard form. Learn how to characterize categorical propositions and how to change them into one of the four standard forms.

### 7. What is a Two-Way Table?

A two-way table, also known as a contingency table, is used to display the frequency data of two categorical variables. Learn some tips on how to use and how to analyze two-way tables.

### 8. Subsets in Math: Definition & Examples

A subset is a set, or a collection of objects, made up of components of another set in math. Explore the definition of sets and subsets, how to identify subsets, examples of subsets, and empty and power sets in this lesson.

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### Other Chapters

Other chapters within the NY Regents Exam - Integrated Algebra: Tutoring Solution course

- NY Regents - Number Theory & Basic Arithmetic: Tutoring Solution
- NY Regents - Problems with Decimals and Fractions: Tutoring Solution
- NY Regents - Problems with Percents: Tutoring Solution
- NY Regents - Problems with Exponents: Tutoring Solution
- NY Regents - Problems with Exponential Expressions: Tutoring Solution
- NY Regents - Problems with Radical Expressions & Equations: Tutoring Solution
- NY Regents - Problems with Algebraic Expressions and Equations: Tutoring Solution
- NY Regents - Distributing Terms in Algebra: Tutoring Solution
- NY Regents - Algebraic Linear Equations & Inequalities: Tutoring Solution
- NY Regents - Matrices and Absolute Value: Tutoring Solution
- NY Regents - Overview of Functions: Tutoring Solution
- NY Regents - Factoring with Variables: Tutoring Solution
- NY Regents - Quadratics & Polynomials: Tutoring Solution
- NY Regents - Rational Expressions: Tutoring Solution
- NY Regents - Graphing Functions: Tutoring Solution
- NY Regents - Calculations with Ratios, Percent & Proportions: Tutoring Solution
- NY Regents - Probability and Statistics: Tutoring Solution
- NY Regents - Probability Mechanics: Tutoring Solution
- NY Regents - Working with Data: Tutoring Solution
- NY Regents - Well-Known Equations: Tutoring Solution
- NY Regents - Intro to Trigonometry: Tutoring Solution
- NY Regents - Measurement for Algebra Students: Tutoring Solution
- NY Regents - Geometry for Algebra Students: Tutoring Solution