Problem 89 In the following exercises, tran... [FREE SOLUTION]

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Chapter 1: Problem 89

In the following exercises, translate from algebra to English. $$14 < 21 $$

Short Answer

Expert verified

14 is less than 21.

Step by step solution

Understand the Symbols

Identify and understand the symbols involved in the given inequality. The symbol '<' stands for 'less than'.

Translate the Numbers

Identify the numbers on each side of the inequality. Here, 14 is on the left side, and 21 is on the right side.

Write the English Sentence

Combining the knowledge from the previous steps, translate the inequality into an English sentence. The given inequality states that 14 is less than 21.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Inequality Symbols

In algebra, inequality symbols are used to compare two values. They tell us the relationship between these values.

Here are the most common inequality symbols and what they mean:

'<': less than
'<=': less than or equal to
'>': greater than
'>=': greater than or equal to
'!=': not equal to

For example, in the inequality 14 < 21, the symbol '<' tells us that 14 is less than 21.

Understanding these symbols is essential when working with inequalities in algebra. They help us know which number is bigger, smaller, or if they are equal.

Translating Algebra to English

Translating algebra to English involves converting mathematical expressions into plain language sentences.

Let's break down the process:

Identify the symbols: Know what each symbol represents.
Identify the numbers: Notice who is being compared.
Combine the information: Create a meaningful sentence.

For example, with the inequality 14 < 21:

Identify the symbol: '<' means 'less than'.
Identify the numbers: 14 on the left and 21 on the right.
Combine the information: 14 is less than 21.

Applying this method consistently will help you easily translate any algebraic expression into an understandable English sentence.

Algebraic Expressions

An algebraic expression is a combination of numbers, variables, and operators (like +, -, *, and /). These expressions represent mathematical relationships.

Here are the parts of an algebraic expression:

Numbers: These are constants or fixed values, like 14 and 21 in our example.
Variables: Symbols like x or y that represent unknown values.
Operators: Symbols that show operations, such as + (plus), - (minus), * (multiply), and / (divide).
Equality/Inequality symbols: Show the relationship between expressions or numbers, like =, <, >, <=, >=, and !=.

Understanding algebraic expressions is crucial for solving equations and inequalities. It allows you to manipulate and solve for unknown values while understanding the relationship between different quantities.

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91影视

In the following exercises, translate from algebra to English. $$14 < 21 $$

Short Answer

Step by step solution

Understand the Symbols

Translate the Numbers

Write the English Sentence

Key Concepts

Inequality Symbols

Translating Algebra to English

Algebraic Expressions

One App. One Place for Learning.

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