Table of contents

0. Review of Algebra4h 16m
1. Equations & Inequalities3h 18m
2. Graphs of Equations43m
3. Functions2h 17m
4. Polynomial Functions1h 44m
5. Rational Functions1h 23m
6. Exponential & Logarithmic Functions2h 28m
7. Systems of Equations & Matrices4h 6m
8. Conic Sections2h 23m
9. Sequences, Series, & Induction1h 19m
10. Combinatorics & Probability1h 45m

0. Review of Algebra

Exponents

College Algebra

0. Review of Algebra

Exponents

1:19 minutes

Problem 87

Textbook Question

Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, M = {0, 2, 4, 6, 8}, N = {1, 3, 5, 7, 9, 11, 13}, Q = {0, 2, 4, 6, 8, 10, 12}, and R = {0, 1, 2, 3, 4}.Use these sets to find each of the following. Identify any disjoint sets. N ∪ R

Verified Solution

This video solution was recommended by our tutors as helpful for the problem above

Video duration:

Play a video:

Was this helpful?

Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Set Theory

Set theory is a branch of mathematical logic that studies sets, which are collections of objects. In this context, understanding how to manipulate sets—such as performing unions, intersections, and identifying disjoint sets—is crucial. A union combines all elements from the involved sets, while disjoint sets have no elements in common.

Union of Sets

The union of two or more sets is a new set that contains all the distinct elements from the original sets. For example, if we take sets N and R, their union, denoted as N ∪ R, will include every unique element from both sets. This concept is essential for solving the question as it requires combining the elements of the specified sets.

Disjoint Sets

Disjoint sets are sets that have no elements in common. Identifying disjoint sets is important in set theory as it helps in understanding the relationships between different sets. In the given question, recognizing which sets are disjoint can aid in analyzing their unions and intersections effectively.