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Chapter 1: Problem 70

Translate the inequality to words. $$6<11$$

Short Answer

Expert verified
Six is less than eleven.

Step by step solution

01

Identify inequality symbols

The given inequality is \(6 < 11\). The symbol \

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Key Concepts

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

inequality symbols
In mathematics, inequality symbols are used to compare two values. These symbols are essential because they help us understand the relationship between different numbers or expressions.

There are several common inequality symbols:
  • The symbol '<' means 'less than.'

  • The symbol '>' means 'greater than.'

  • The symbol '鈮�' means 'less than or equal to.'

  • The symbol '鈮�' means 'greater than or equal to.'

  • The symbol '鈮�' means 'not equal to.'

In the given example, 6 < 11, the '<' symbol indicates that 6 is less than 11. Understanding these symbols is crucial for comparing values correctly.
comparing numbers
Comparing numbers involves determining whether one number is greater than, less than, or equal to another number. This concept is fundamental in mathematics as it helps in problem-solving and decision making.

Here鈥檚 how you compare numbers using inequality symbols:
  • Identify the numbers you want to compare. In our example, these numbers are 6 and 11.

  • Use the appropriate inequality symbol to show their relationship. Since 6 is smaller, we use '<'.

Therefore, we write the inequality as 6 < 11.

When we place two numbers on a number line, the number on the left is considered smaller. Practicing with different numbers will help you get more comfortable with comparisons.
expressing inequalities in words
Translating an inequality into words is an important skill. It helps in understanding and communicating mathematical ideas clearly.

For the given inequality, 6 < 11, we need to express this in words.
  • The number on the left side of the inequality is 6.

  • The symbol '<' represents 'is less than.'

  • The number on the right side is 11.

When we put it all together, '6 < 11' is expressed as '6 is less than 11.' Using words to describe inequalities helps reinforce the concept and ensures clarity in communication.

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