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

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1:45 minutes

Problem 49

Textbook Question

Determine whether each statement in Exercises 43–50 is true or false. 0 ≥ -6

Verified step by step guidance

Identify the inequality given: \(0 \geq -6\).

Understand the meaning of the inequality symbol \(\geq\), which means 'greater than or equal to'.

Compare the two numbers: 0 and -6.

Recognize that 0 is greater than -6 on the number line.

Conclude that the statement \(0 \geq -6\) is true because 0 is indeed greater than -6.

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Key Concepts

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

Inequalities

Inequalities are mathematical expressions that compare two values or expressions, indicating whether one is greater than, less than, or equal to the other. In this context, the symbol '≥' means 'greater than or equal to,' which is essential for understanding the relationship between the numbers involved.

Number Line

A number line is a visual representation of numbers in a straight line, where each point corresponds to a number. It helps in understanding the relative positions of numbers, such as positive and negative values, which is crucial for evaluating statements involving inequalities.

Negative and Positive Numbers

Negative numbers are values less than zero, while positive numbers are greater than zero. Understanding the properties of these numbers is vital for evaluating inequalities, as it allows one to determine the truth of statements like '0 ≥ -6' by recognizing that zero is indeed greater than negative six.