Ch. R - Review of Basic Concepts

Lial13th EditionCollege AlgebraISBN: 9780136881063Not the one you use?Change textbook

Lial 13th Edition

Ch. R - Review of Basic Concepts

Problem 27

Chapter 1, Problem 27

Insert ∈ or ∉ in each blank to make the resulting statement true. 6 _____ {3, 4, 5, 6}

Verified step by step guidance

Understand the problem: We need to determine whether the number 6 is an element of the set {3, 4, 5, 6}.

Recall the meaning of the symbols: The symbol $ \in $ means "is an element of," and $ \notin $ means "is not an element of."

Look at the set $ \{3, 4, 5, 6\} $ and check if the number 6 is listed inside the curly braces.

Since 6 appears in the set, the correct symbol to use is $ \in $, indicating membership.

Write the complete true statement: $ 6 \in \{3, 4, 5, 6\} $.

Verified video answer for a similar problem:

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

Video duration:

45s

Was this helpful?

Key Concepts

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

Set Membership (Element of a Set)

Set membership refers to whether a specific element belongs to a given set. The symbol '∈' denotes that an element is a member of the set, meaning it is included within the set's listed elements.

Set Notation and Symbols

Set notation uses curly braces {} to list elements, and symbols like '∈' and '∉' to indicate membership or non-membership. Understanding these symbols is essential to correctly interpret and complete statements about sets.

Evaluating Membership Statements

To determine if an element belongs to a set, compare the element with the set's listed members. If the element matches any member, use '∈'; if not, use '∉'. This evaluation is fundamental in set theory problems.

Recommended video:

5:14

Evaluate Logarithms

Related Practice

Textbook Question

If the expression is in exponential form, write it in radical form and evaluate if possible. If it is in radical form, write it in exponential form. Assume all variables represent positive real numbers. p^5/4

Textbook Question

Factor out the greatest common factor from each polynomial. See Example 1. 5(a+3)³-2(a+3)+(a+3)²

views

Textbook Question

Find each sum or difference. -6 + (-13)

views

Textbook Question

Add or subtract, as indicated. $3 (8 p^{2} - 5 p) - 5 (3 p^{2} - 2 p + 4)$

views

Textbook Question

Concept Check When directed to completely factor the polynomial $4 x^{2} y^{5} - 8 x y^{3}$ ,a student wrote $2 x y^{3} (2 x y^{2} - 4)$ . When the teacher did not give him full credit, he complained because when his answer is multiplied out, the result is the original polynomial. Give the correct answer.

views

Textbook Question

Write each rational expression in lowest terms. m² - 4m + 4 / m² + m - 6