/*! 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 27 Find the intersection of the set... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 0: Problem 27

Find the intersection of the sets. $$\\{a, b, c, d\\} \cap \varnothing$$

Short Answer

Expert verified
The intersection of the sets \({a, b, c, d}\) and \(\varnothing\) is \(\varnothing\) (an empty set) as there are no common elements between the two sets.

Step by step solution

01

Understanding the concept of Intersection

The intersections of two sets A and B, denoted as \(A \cap B\), is the set that contains all elements of A that also belong to B (or equivalently, all elements of B that also belong to A), but no other elements. It comprises the common elements from both sets.
02

Identify common elements

The given sets are \({a, b, c, d}\) and \(\varnothing\) (an empty set). The empty set does not contain any elements. Therefore, there are no common elements between the set \({a, b, c, d}\) and the empty set.
03

Declare the Intersection

Since there are no common elements between \({a, b, c, d}\) and \(\varnothing\), the intersection of these sets is itself an empty set: \(\varnothing\).

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

Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. $$8^{-\frac{1}{3}}=-2$$

$$\frac{1}{2}+\frac{2}{3}$$

Evaluate each algebraic expression for the given value or values of the variable(s). $$x^{2}-4(x-y), \text { for } x=8 \text { and } y=3$$

Factor and simplify each algebraic expression. $$-8(4 x+3)^{-2}+10(5 x+1)(4 x+3)^{-1}$$

Find the union of the sets. $$\\{1,3,7,8\\} \cup\\{2,3,8\\}$$
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Geometry

Read Explanation

Pure Maths

Read Explanation

Decision Maths

Read Explanation

Statistics

Read Explanation

Logic and Functions

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.