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Chapter 4: Solving Inequalities

This chapter focuses on solving inequalities and understanding set notation in algebra. It defines sets as groups of related elements, specifically numbers. Key sets include natural numbers (N), integers (Z), rational numbers (Q), real numbers (R), and complex numbers (C). The chapter discusses operations on sets, including how to find unions and intersections. Examples illustrate these concepts, such as determining the intersection of two sets and combining sets. Engage with the provided homework for practice and mastery of these concepts.

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Chapter 4: Solving Inequalities

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  1. Chapter 4: Solving Inequalities Set Notation

  2. Set • A group of things • In algebra, this is a group of numbers that are related somehow

  3. elements • Numbers that are included in the sets

  4. Set Notation • Ø empty set • C complex numbers (algebra 2) • N natural numbers • Q rational numbers (think fractions) • R real numbers • Z integers

  5. Other Notation • Union of two sets: • Means that you take two sets and combine all of their elements • Intersection of two sets: • Means that you only keep the elements that are in both sets of numbers

  6. Example 1 • C = {6, 9, 12, 15, 18, 21} • D = {x | x is a positive odd integer} • What is C ∩ D?

  7. Example 2 • P = {5, 10, 15, 20} • Q = { 8, 10, 18, 20} • Find P U Q

  8. Homework • P. 233 • 1-8

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