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Chapter 1: Problem 69

Translate the inequality to words. $$8>2$$

Short Answer

Expert verified
8 is greater than 2.

Step by step solution

01

Identify the Inequality Symbols

Recognize that the inequality symbol used here is '>'. This symbol means 'greater than'.
02

Identify the Numbers

Notice that the numbers involved in the inequality are 8 and 2.
03

Translate the Inequality

Combine the inequality symbol and the numbers into a verbal statement. Therefore, '8 > 2' translates to '8 is greater than 2'.

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Key Concepts

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

Inequality Symbols
Inequality symbols are essential in mathematics. They help compare the size of two values. Understanding these symbols is crucial for solving and understanding inequalities.

Here are the most common inequality symbols you will encounter:
  • '>' means 'greater than'. For example, in '8 > 2', 8 is larger than 2.
  • '<' means 'less than'. For instance, '3 < 5' indicates that 3 is smaller than 5.
  • '>=' means 'greater than or equal to'. For example, 'x >= 7' means x is 7 or more.
  • '<=' means 'less than or equal to'. For example, 'y <= 10' means y is 10 or less.
Knowing these symbols helps in identifying the relationships between numbers.
Inequality Translation
Translating inequalities is about converting mathematical inequalities into words. It鈥檚 a vital skill that improves your understanding and communication in mathematics.

Let鈥檚 translate step by step:
  • First, identify the inequality symbol. In our example, '>' means 'greater than'.
  • Next, recognize the numbers. Here, the numbers are 8 and 2.
Combining these, the statement '8 > 2' in words is '8 is greater than 2'. This process helps clarify what the inequality means in simple terms.
Mathematical Expressions
Mathematical expressions are combinations of numbers, symbols, and operators that represent a value or a relationship.

In the context of inequalities, an expression could be as simple as '8 > 2'. This involves:
  • Numbers: These are the actual values, like 8 and 2.
  • Operators: These include symbols like '+', '-', '>', '<', etc.
Understanding and working with expressions is a critical part of mastering math. For example, 'x + 3 > 5' involves a variable and shows a condition that x must meet. Practicing with these expressions builds a strong foundation in both algebra and higher-level math concepts.

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Most popular questions from this chapter

Fill in the blank with the inequality symbol \(<\) or \(>\). $$95 \square 89$$

Translate the inequality to words. $$14>12$$

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Fill in the blank with the inequality symbol \(<\) or \(>\). $$0 \square 3$$
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