2.1, 2.2
1/23/17
Maddi Hatch
Definition:
(a) We say sets A and B are EUQAL if they contain EXACTLY THE SAME ELEMENTS.
(b) We say sets A and B are EQUIVALENT if they contain THE SAME NUMBER OF
ELEMENTS.
Example:
State whether the sets are equal, equivalent
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2.3
Maddi Hatch
1/27/17
Example: In a school, there are 58 students in the chorus, 18 students in the chorus AND the
band, and 79 students in the chorus OR the band. How many students are in the band?
Answer: 39 band students
Formula: n(A B) = n(A) + N(B)
2.2, 2.3
1/25/17
Maddi Hatch
2.3 Set operations and Venn diagrams
Definition: The UNIVERSAL SET is the set of ALL thigs being considered for a given problem. It is
denoted by: U
So, for any set A in given problem: A U
We show sets and their relationships
1.1, 1.2
1/20/17
Maddi Hatch
2.1 Set Concepts
A set is a collection or group of things, ideas, or other groups
An element is a member of a set
3 ways to describe a set:
1. Verbal description
We make the set well-defined by indicating clearly what is in
Unit One Notes:
Maddi Hatch
(1-18-17)
1.1 Inductive and Deductive Reasoning
Problem Solving
Definition: Inductive Reasoning
Argues from specific facts (Data) to reach general statements as conclusions.
Example: Jack notices that four of his friends have
Chapter 1 Math 101
1.1 Inductive and Deductive Reasoning
Definitions:
o Inductive reasoning is the process of reasoning to a general
conclusion through observations of specific cases
o Deductive reasoning is the process of reasoning to a specific
c