Problem 2 Write a verbal phrase that descr... [FREE SOLUTION]

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Chapter 6: Problem 2

Write a verbal phrase that describes the inequality. \(x>-7\)

Short Answer

Expert verified

'x is greater than negative seven'

Step by step solution

Understanding the inequality sign

Firstly, understand that the inequality sign '>' means 'greater than'. This indicates that \(x\) is larger than -7.

Developing the verbal phrase

Based on the translation of the inequality sign, the verbal phrase describing the inequality \(x > -7\) would be 'x is greater than negative seven'.

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Key Concepts

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

Understanding the Inequality Sign

Inequality signs are mathematical symbols used to compare two values or expressions. They tell us if one number is larger, smaller, or simply not equal to another number. Here's a brief rundown of the most common inequality signs you might encounter in algebra:

'>': This indicates that one value is greater than another. For example, in the expression \(x > -7\), \(x\) is greater than \(-7\).
'<': This means one value is less than another, such as \(x < 5\), where \(x\) is smaller than \(5\).
'鈮�': Known as 'greater than or equal to', this shows that a value can either be greater than or equal to another value.
'鈮�': Similarly, 'less than or equal to' shows that a value is less than or equal to another.

Inequalities are foundational in algebra as they help us understand relationships between numbers. When you read an inequality, focus on the direction of the sign to determine the relationship between values.

Verbal Phrases in Math

Translating mathematical symbols into words is an important skill for understanding and communicating math concepts. A verbal phrase is simply a way to express an equation or inequality using everyday language.

For instance, the inequality \(x > -7\) can be translated to the verbal phrase 'x is greater than negative seven'. It's essential to understand the meaning of each part of the inequality to accurately describe it verbally.

The variable usually stays the same, represented by the word or letter it signifies.
The inequality sign translates into a specific phrase, like 'greater than', 'less than', 'at least', or 'at most'.
The number should be stated clearly, often preceded by words such as 'negative' for numbers below zero.

Developing comfort in transitioning between mathematical and verbal expressions will strengthen your math communication skills.

Expressing Inequalities Verbally

Converting inequalities into verbal statements helps us grasp their meaning more fully, especially in real-world contexts. Here's how you can express common inequalities using words:

For \(x > a\), use: 'x is greater than a.'
For \(x < a\), say: 'x is less than a.'
For \(x 鈮� a\), express it as: 'x is greater than or equal to a.'
For \(x 鈮� a\), use: 'x is less than or equal to a.'

When saying these phrases, ensure clarity. Numbers should be straightforward, and the inequality concept should be correctly communicated.
For example, for the inequality \(x > -7\):

- Start with the variable \(x\).- Then verbalize the inequality symbol, as 'greater than'.- Finally, articulate the number clearly: 'negative seven'.
Representing inequalities verbally not only aids understanding but also makes them accessible to those who might not be looking at the math directly.

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91影视

Write a verbal phrase that describes the inequality. \(x>-7\)

Short Answer

Step by step solution

Understanding the inequality sign

Developing the verbal phrase

Key Concepts

Understanding the Inequality Sign

Verbal Phrases in Math

Expressing Inequalities Verbally

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