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Chapter 1: Problem 77

Write each statement in words and decide whether it is true or false. $$ 5<17 $$

Short Answer

Expert verified
'Five is less than seventeen' is true.

Step by step solution

01

Identify the Mathematical Statement

Examine the given inequality: \(5 < 17\). The symbol '<' indicates 'less than'.
02

Rewrite the Statement in Words

Convert the inequality into a sentence: 'Five is less than seventeen.'
03

Evaluate the Inequality

Determine if the numerical statement \(5 < 17\) is correct by comparing the values of 5 and 17. Since 5 is indeed less than 17, the statement is correct.
04

Conclusion

Since the comparison is accurate and 5 is indeed less than 17, we conclude that the statement is true.

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Key Concepts

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

mathematical inequalities
Mathematical inequalities are statements that compare two values. They use symbols like '<' (less than), '>' (greater than), '鈮�' (less than or equal to), and '鈮�' (greater than or equal to)
. Inequalities help us understand the relationship between numbers, and whether one is bigger, smaller, or roughly the same as another.
In this exercise, we are using the symbol '<'. This means one number is less than another. When you see '5 < 17', it means we are stating that 5 is less than 17.
comparing numbers
Comparing numbers is about evaluating which number is bigger, smaller, or if they're equal.
When you compare 5 and 17, you look at their values to determine the relationship between them.
Here鈥檚 how it works:
  • The smaller number always comes first when using '<' symbol.
  • In our example, 5 is compared to 17. By checking their numeric values, you can see that 5 is lower than 17.
  • Therefore, the statement 5 < 17 is true.
. Comparing numbers is a key skill for solving many math problems. By understanding which numbers are bigger or smaller, you can solve inequalities and other mathematical statements accurately.
evaluating inequalities
Evaluating inequalities involves checking whether a given inequality statement is true or false.
Let's break it down in steps:
  • First, identify the two numbers or expressions being compared. For example, in 5 < 17, the numbers are 5 and 17.
  • Next, understand the inequality symbol. '<' means less than, so we are checking if the left number is smaller than the right number.
  • Then, compare the numbers. Since 5 is indeed less than 17, the statement is true.

Evaluating inequalities is an essential part of solving math problems. It helps in determining the relationship between numbers accurately.

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Most popular questions from this chapter

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