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Chapter 2: Problem 14

Translate from algebraic notation to words. \(42 \geq 27\)

Short Answer

Expert verified
42 is greater than or equal to 27.

Step by step solution

01

Identify the Components

Examine the algebraic notation. Identify the numbers and the inequality symbol.
02

Translate the Numbers

Translate the numbers from notation to words. In this case, 42 and 27.
03

Translate the Inequality Symbol

Identify the meaning of the inequality symbol \(\geq\). It means 'greater than or equal to'.
04

Combine the Translations

Combine the translations from the steps above to form a complete sentence. Think: '42 is greater than or equal to 27'.

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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 a key part of algebra. They're used to compare two values or expressions. The symbol in the original exercise is \( \geq \). This symbol means 'greater than or equal to'. It shows that the number on the left is either larger than or equal to the number on the right.

Other common inequality symbols include:

  • \( < \): less than
  • \( > \): greater than
  • \( \leq \): less than or equal to
  • \( eq \): not equal to

Understanding these symbols helps you interpret and solve algebra problems. Inequality symbols are not only used in math exercises. You'll find them in everyday situations too. Remember, these symbols help express relationships between quantities.
Algebraic Notation
Algebraic notation is the language of algebra. It uses symbols and numbers to represent mathematical ideas. For example, the expression \( 42 \geq 27 \) in the exercise uses algebraic notation.

Let's break it down:
  • \( 42 \): a number
  • \( \geq \): an inequality symbol
  • \( 27 \): another number

In algebra, letters and symbols are used alongside numbers. For example, \( x + y = z \) is an algebraic expression where letters represent values. This kind of notation helps simplify complex problems. It also makes it easier to see relationships between different elements.
Mathematical Translation
Mathematical translation is the process of converting algebraic expressions into words or other forms. In the given exercise, \( 42 \geq 27 \) was translated to '42 is greater than or equal to 27'. This step-by-step translation process helps you understand and communicate mathematical ideas more clearly.

Here are the steps used for translating in the exercise:
  • Identify the components: Look at the numbers and symbols.
  • Translate the numbers: Change the numeric values to words (e.g., 42, 27).
  • Translate the inequality symbol: Understand what \( \geq \) means ('greater than or equal to').
  • Combine the translations: Form a complete sentence ('42 is greater than or equal to 27').

Learning to translate between different forms is crucial. It helps you understand math concepts on a deeper level. It also makes it easier to explain your solutions to others.

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Most popular questions from this chapter

In the following exercises, translate the given sentence into an algebraic equation. Twice the difference of m and 14 gives 64.

Sale purchase Rita bought a sofa that was on sale for \(\$ 1299 .\) She paid a total of \(\$ 1409,\) including sales tax. Find the amount of the sales tax, \(t,\) by solving the equation \(1299+t=1409\)

In the following exercises, translate each English sentence into an algebraic equation and then solve it. Find the prime factorization of 1080 .

In the following exercises, simplify, using the order of operations. $$ (8+1) \cdot 4 $$

In the following exercises, list all the multiples less than 50 for each of the following. $$ 10 $$
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