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Questions and Answers
What is the correct representation of the set of natural numbers based on the provided example?
Which of the following is NOT a valid member of the set B = {a, b, c, d, e}?
If A = {1/2, 3}, which of the following elements belongs to the set A?
What type of number is specifically included in the set N = {1, 2, 3, ...}?
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Which of the following statements about sets is true?
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What does the term 'infinite' refer to in the given context?
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Which of the following expressions might represent a member of the set R?
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In the context given, which statement is primarily represented by the variable E?
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Which equation correctly reflects a mathematical relationship involving the components discussed?
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Which of these assertions correctly distinguishes members of set Q?
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Study Notes
Course Information
- Course name: Mathematics for Economics
- Professor: Giuseppe De Marco
- Email: [email protected]
- Course Code: ge88jca
- Class schedule:
- Wednesday: 11.30 - 12.30, Room 1.下
- Wednesday: 13.30 - 14.30, Room B.cc
- Thursday: 8.30 - 11.30, Room - 1-7
Set Theory
- A set is a collection of distinct objects.
- Elements of a set are denoted by curly braces {}.
- Example of a set: A = {1/2, 3}
- An element that belongs to the set B is denoted by "∈".
- An element that does not belong to the set B is denoted by "∉".
Sets of Numbers
-
Natural Numbers (N):
- N = {1, 2, 3, ...}
- Contains all positive whole numbers.
-
Whole Numbers (Z):
- Z = {-1, 0, 1, 2, 3, ...}
- Contains all positive, negative, and zero integers.
-
Rational Numbers (Q):
- Q = {x | x can be expressed as a fraction a/b, where a and b are integers, and b ≠ 0}
- Includes all numbers that can be represented as a ratio of two integers.
-
Real Numbers (R):
- R = {all rational and irrational numbers}
- The set of all numbers that can be plotted on a number line.
-
Irrational Numbers:
- Numbers that cannot be expressed as a ratio of two integers. Examples include √2, π, and e.
-
Integers (Z):
- Contains all positive, negative, and zero integers.
Example of Solving a mathematical problem
- The text provides an example of solving a mathematical problem. It uses the concept of 'corresponds' to solve for 'x' in a mathematical equation.
- The problem involves a combination of real numbers and exponents.
- The steps to solve the equation involve:
- simplifying exponents.
- multiplying both sides of the equation.
- isolating the variable 'x'.
- finding the value of 'x'.
Important Note
- Text includes symbols and mathematical notation that are not fully interpreted in the provided text.
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Description
Test your understanding of set theory and sets of numbers in this quiz tailored for the Mathematics for Economics course. You will explore the concepts of distinct objects, natural numbers, whole numbers, and rational numbers to assess your grasp of the foundational elements of sets.
