/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 37 Determine whether the pairs of s... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 6: Problem 37

Determine whether the pairs of sets are disjoint. a. \(\\{1,2,3,4\\},\\{4,5,6,7\\}\) b. \(\\{a, c, e, g\\},\\{b, d, f\\}\)

Short Answer

Expert verified
Pair a: \(\{1,2,3,4\},\{4,5,6,7\}\) are not disjoint since they share the element \(4\). Pair b: \(\{a, c, e, g\},\{b, d, f\}\) are disjoint as they have no common elements.

Step by step solution

01

Pair a: \(\{1,2,3,4\},\{4,5,6,7\}\)

To find out whether these two sets are disjoint, we need to compare their elements. We can see that they share a common element, which is \(4\). Since there is a common element, these sets are not disjoint.
02

Pair b: \(\{a, c, e, g\},\{b, d, f\}\)

Similarly, we need to compare the elements of these sets. This time, we observe that there are no common elements between these sets. All elements are distinct in each set. Thus, these sets are disjoint.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

In a state lottery, there are 15 finalists eligible for the Big Money Draw. In how many ways can the first, second, and third prizes be awarded if no ticket holder can win more than one prize?

Student Painters, which specializes in painting the exterior of residential buildings, has five people available to be organized into two-person and three-person teams. a. In how many ways can a two-person team be formed? b. In how many ways can a three-person team be formed? c. In how many ways can the company organize the available people into either two-person teams or threeperson teams?

List the elements of the set in roster notation. $$ \\{x \mid 2-x=4 \text { and } x \text { is an integer }] $$

Find the smallest possible set (i.e.. the set with the least number of elements) that contains the given sets as subsets. $$ \\{1,2\\},\\{1,3,4\\},\\{4,6,8,10\\} $$

A computer dating service uses the results of its compatibility survey for arranging dates. The survey consists of 50 questions, each having five possible answers. How many different responses are possible if every question is answered?
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Applied Mathematics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Logic and Functions

Read Explanation

Pure Maths

Read Explanation

Mechanics Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.