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Chapter 2: Problem 22

Translate from algebraic notation to words. \(a \neq 1 \cdot 12\)

Short Answer

Expert verified
'a is not equal to one multiplied by twelve'.

Step by step solution

01

Identify the components

Locate all the components within the equation. The components here are 'a', '鈮�', '1', '路', and '12'.
02

Translate each component

Translate 'a' to 'a', '鈮�' to 'is not equal to', '1' to 'one', '路' to 'multiplied by', and '12' to 'twelve'.
03

Combine the translations

Combine the words from Step 2 to form the sentence. Therefore, 'a 鈮� 1 路 12' translates to 'a is not equal to one multiplied by twelve'.

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Key Concepts

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

Algebraic Notation
Algebraic notation is a way to write mathematical expressions using symbols and letters. It helps us describe relationships and perform calculations in a concise manner.
For example, the letter 'a' can represent an unknown number. The symbol '鈮�' means 'is not equal to'. By using algebraic notation, we can turn complex ideas into simple expressions.

Let's break down the expression again:
  • 'a' stands for any number
  • '鈮�' means 'is not equal to'
  • '1' is just the number one
  • '路' represents multiplication
  • '12' is the number twelve
When we put these together, we get the mathematical statement 'a is not equal to one multiplied by twelve'. The concise form makes it easier to work with in equations and inequalities.
Inequality
In mathematics, an inequality compares two values to show that one value is either greater than or less than the other.

Common inequality symbols include:
  • '>' (greater than)
  • '<' (less than)
  • '鈮�' (greater than or equal to)
  • '鈮�' (less than or equal to)
  • '鈮�' (not equal to)
In our exercise, 'a 鈮� 1 路 12' is an inequality. It shows that the value of 'a' is not the same as the value of '1 路 12'.
Inequalities are useful for describing ranges of possible values. For example, if we know that 'a' must be different from 12, it can help us solve problems or find solutions in a real-world context.
Mathematical Translation
Translating mathematical expressions into words is an essential skill. It helps you understand and communicate mathematical concepts more clearly.

Here鈥檚 how you can approach translating algebraic expressions like the one in our exercise:
  • Identify the components: Look at each part of the expression and recognize what it represents.
  • Translate each component: Express each symbol or number in words. For example, '鈮�' turns into 'is not equal to'.
  • Combine the translations: Put your words together to form a clear, understandable sentence.
This method ensures that you accurately interpret mathematical statements. In our example, 'a 鈮� 1 路 12' translates to 'a is not equal to one multiplied by twelve'. This process bridges the gap between symbolic notation and verbal description, making math more accessible.

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Most popular questions from this chapter

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