Table of contents

0. Review of Algebra4h 18m
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 22m
10. Combinatorics & Probability1h 45m

0. Review of Algebra

Exponents

College Algebra

0. Review of Algebra

Exponents

Previous problemNext problem

0:47 minutes

Problem 32

Textbook Question

Insert ∈ or ∉ in each blank to make the resulting statement true. 0 _____ {0, 5, 6, 7, 8, 10}

Verified step by step guidance

Identify the meaning of the symbols: ∈ means 'is an element of' and ∉ means 'is not an element of'.

Examine the set given: \( \{0, 5, 6, 7, 8, 10\} \).

Determine if the number 0 is listed within the set.

Since 0 is present in the set, the correct symbol to use is ∈.

Insert the symbol: 0 ∈ \{0, 5, 6, 7, 8, 10\}.

Verified video answer for a similar problem:

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

Video duration:

47s

Play a video:

Was this helpful?

Key Concepts

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

Set Notation

Set notation is a mathematical language used to describe collections of objects, known as elements. In this context, the set {0, 5, 6, 7, 8, 10} contains specific numbers, and understanding how to interpret this notation is crucial for determining whether an element belongs to the set.

Element Membership

Element membership refers to the relationship between an element and a set, denoted by the symbols ∈ (is an element of) and ∉ (is not an element of). To solve the question, one must assess whether the number 0 is included in the given set, which directly influences the choice of symbol.

Logical Statements

Logical statements are assertions that can be evaluated as true or false. In this case, the statement formed by inserting either ∈ or ∉ must accurately reflect the relationship between the number 0 and the set. Understanding how to construct and evaluate these statements is essential for arriving at the correct answer.