Textbook Question
Add or subtract, as indicated. See Example 6. 5√3 - √3
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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 87
Use an inequality symbol to write each statement. 5 + 0 is not equal to 0.
Verified step by step guidance1
Identify the two expressions being compared: the left side is \(5 + 0\) and the right side is \(0\).
Calculate the value of the left side: \(5 + 0 = 5\).
Recognize that the problem states "is not equal to," which corresponds to the inequality symbol \(\neq\).
Write the inequality using the expressions and the symbol: \(5 + 0 \neq 0\).
This inequality shows that the sum of 5 and 0 is not equal to 0, 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 are used to compare two values and show their relationship. Common symbols include < (less than), > (greater than), ≤ (less than or equal to), ≥ (greater than or equal to), and ≠ (not equal to). In this question, the symbol ≠ is used to indicate that two values are not equal.
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Evaluating Expressions
Evaluating expressions involves performing arithmetic operations to simplify or find the value of an expression. Here, 5 + 0 simplifies to 5, which helps in comparing it to 0 to determine the correct inequality symbol.
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Writing Mathematical Statements
Writing mathematical statements requires translating verbal descriptions into symbolic form. The phrase 'is not equal to' corresponds to the inequality symbol ≠, which is used to express that two quantities differ.
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Related Practice
Textbook Question
Factor each polynomial completely. See Example 6. 8t³ + 125
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Textbook Question
Simplify each complex fraction. See Examples 5 and 6. (1/(x + 1) − 1/x) / (1/x)
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Textbook Question
Use an inequality symbol to write each statement. 13 - 3 is less than or equal to 10.
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Textbook Question
Factor each polynomial completely. See Example 6. 4m²p - 12mnp + 9n²p
Textbook Question
Simplify each inequality if needed. Then determine whether the statement is true or false. 0 ≤ -5
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