Textbook Question
Use an inequality symbol to write each statement. 5 is greater than or equal to 5.
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Ch. R - Algebra Review
Lial12th EditionTrigonometryISBN: 9780136552161
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Table of contents
- Ch. R - Algebra Review381
- Ch. 1 - Trigonometric Functions188
- Ch. 2 - Acute Angles and Right Triangles168
- Ch. 3 - Radian Measure and The Unit Circle155
- Ch. 4 - Graphs of the Circular Functions100
- Ch. 5 - Trigonometric Identities238
- Ch. 6 - Inverse Circular Functions and Trigonometric Equations158
- Ch. 7 - Applications of Trigonometry and Vectors148
- Ch. 8 - Complex Numbers, Polar Equations, and Parametric Equations15
Chapter 1, Problem 85
Use an inequality symbol to write each statement. 13 - 3 is less than or equal to 10.
Verified step by step guidance1
Identify the two expressions being compared: the left side is \(13 - 3\) and the right side is \(10\).
Calculate the value of the left side expression: \(13 - 3 = 10\).
Understand the inequality phrase "less than or equal to" corresponds to the symbol \(\leq\).
Write the inequality by placing the left side expression, the inequality symbol, and the right side value: \(13 - 3 \leq 10\).
This inequality states that the value of \(13 - 3\) is either less than or exactly equal to \(10\), which matches the given statement.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Inequality Symbols
Inequality symbols compare two values to show their relative size. Common symbols include '<' (less than), '>' (greater than), '≤' (less than or equal to), and '≥' (greater than or equal to). They help express relationships where values are not necessarily equal.
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Evaluating Expressions
Evaluating expressions involves performing arithmetic operations to simplify or find the value of an expression. For example, calculating '13 - 3' results in 10, which is essential before comparing values in an inequality.
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Translating Verbal Statements to Mathematical Expressions
This concept involves converting words into mathematical symbols and expressions. Understanding phrases like 'less than or equal to' allows one to write the correct inequality symbol (≤) to represent the statement accurately.
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Related Practice
Textbook Question
Add or subtract, as indicated. See Example 6. 5√3 - √3
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Textbook Question
Use an inequality symbol to write each statement. 5 + 0 is not equal to 0.
Textbook Question
Add or subtract, as indicated. See Example 6. 2√3 + 5√3
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Textbook Question
Factor each polynomial completely. See Example 6. 4m²p - 12mnp + 9n²p
Textbook Question
Simplify each complex fraction. See Examples 5 and 6. (x/y + y/x) / (x/y − y/x)
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