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Chapter 1: Problem 90

Write each word statement in symbols. Three is not equal to four.

Short Answer

Expert verified
3 \( eq \) 4

Step by step solution

01

Identify the numbers

First, identify the numbers mentioned in the statement. Here, the numbers are three and four.
02

Understand the relationship

Next, understand the relationship between the two numbers. The statement says that three is not equal to four.
03

Use the inequality symbol

To represent 'not equal to' in mathematical notation, use the symbol \( eq \).
04

Write the final expression

Combine the numbers and the inequality symbol to write the final expression: \( 3 eq 4 \).

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Key Concepts

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

Inequality
Inequalities describe the relationship between two values or quantities. In our exercise, the phrase 'Three is not equal to four' describes an inequality. Specifically, it's saying that one number (three) is different from another number (four).
In mathematical notation, inequalities can be represented using various symbols:
  • eq: not equal to
  • <: less than
  • >: greater than
  • eq: less than or equal to
  • eq: greater than or equal to
For our example, we use the 'not equal to' symbol (eq) to show that three and four are not the same.
Number Identification
Identifying numbers in word problems is the first critical step to solving them. In the given exercise, the numbers mentioned are 'three' and 'four'. Recognizing these numbers is fundamental because they form the basis of the inequality we will represent.
When working with word problems:
  • Read the entire statement carefully.
  • Highlight or note the numbers mentioned.
  • Understand the context to identify relationships between these numbers.
Here, we identified 'three' and 'four' and understood that the relationship between them is 'not equal to.'
Symbolic Representation
Symbolic representation means converting word statements into mathematical symbols. This is crucial for communicating mathematical ideas in a concise and universally understood form.
To convert the phrase 'Three is not equal to four' into symbols, follow these steps:
  • Identify the numbers: 'three' (3) and 'four' (4).
  • Understand the relationship: 'not equal to.'
  • Use the appropriate symbol: for 'not equal to,' we use (eq).
  • Combine the elements: write 3 eq 4.
So, the final symbolic representation of the statement is 3 eq 4. This means three is not equal to four, which perfectly captures the original word statement in a mathematic format.

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Most popular questions from this chapter

In September, Jeffery Cooper began with a checking account balance of 904.89 Dollar. His checks and deposits for September are as follows: $$ \begin{array}{|l|c|} \hline \text { Checks } & \text { Deposits } \\ \$ 41.29 & \$ 80.59 \\ \$ 13.66 & \$ 276.13 \\ \$ 84.40 & \\ \hline \end{array} $$ Assuming no other transactions, what was his account balance at the end of September?

To find the average (mean) of a group of numbers, we add the numbers and then divide the sum by the number of terms added. For example, to find the average of \(14,8,3,9,\) and \(1,\) we add them and then divide by 5. $$ \frac{14+8+3+9+1}{5}=\frac{35}{5}=7 \leftarrow \text { Average } $$ Find the average of each group of numbers. \(23,18,13,-4,\) and \(-8\)

Find each difference. $$ \frac{1}{2}-\left(-\frac{1}{4}\right) $$

To find the average (mean) of a group of numbers, we add the numbers and then divide the sum by the number of terms added. For example, to find the average of \(14,8,3,9,\) and \(1,\) we add them and then divide by 5. $$ \frac{14+8+3+9+1}{5}=\frac{35}{5}=7 \leftarrow \text { Average } $$ Find the average of each group of numbers. \(-17,34,9,-2\)

Solve each problem. In \(1998,\) undergraduate college students had an average (mean) credit card balance of 1879. The average balance increased \(\$ 869\) by 2000 , then dropped \(\$ 579\) by \(2004,\) and then increased \(\$ 1004\) by \(2008 .\) What was the average credit card balance of undergraduate college students in \(2008 ?\)
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