Use An Inequality Symbol (\[$\ \textless \ ,\ \textgreater \ ,=,\geq\$\]) To Compare \[$-17\$\] And \[$-1\$\].A) \[$=\$\]B) \[$\ \textless \ \$\]C) \[$\ \textgreater \ \$\]D) \[$\geq\$\]

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Introduction

In mathematics, inequality symbols are used to compare numbers. These symbols help us understand the relationship between two or more numbers. In this article, we will focus on comparing two specific numbers, -17 and -1, using inequality symbols.

Understanding Inequality Symbols

Inequality symbols are used to compare numbers. The most common inequality symbols are:

  • Less than (<)
  • Greater than (>)
  • Less than or equal to (≤)
  • Greater than or equal to (≥)
  • Equal to (=)

Comparing -17 and -1

To compare -17 and -1, we need to determine which number is larger or smaller. Let's analyze the numbers:

  • -17 is a negative number, which means it is less than 0.
  • -1 is also a negative number, but it is closer to 0 than -17.

Using Inequality Symbols

Now that we have analyzed the numbers, let's use inequality symbols to compare them.

  • If -17 is less than -1, we would use the less than symbol (<).
  • If -17 is greater than -1, we would use the greater than symbol (>).
  • If -17 is equal to -1, we would use the equal to symbol (=).
  • If -17 is less than or equal to -1, we would use the less than or equal to symbol (≤).
  • If -17 is greater than or equal to -1, we would use the greater than or equal to symbol (≥).

Conclusion

Based on our analysis, we can conclude that -17 is less than -1. Therefore, the correct answer is:

  • B) <

Explanation

-17 is a negative number, which means it is less than 0. -1 is also a negative number, but it is closer to 0 than -17. Therefore, -17 is less than -1.

Example

Here's an example of how to use inequality symbols to compare numbers:

  • 5 > 3 (5 is greater than 3)
  • 2 < 4 (2 is less than 4)
  • 1 = 1 (1 is equal to 1)
  • 3 ≤ 5 (3 is less than or equal to 5)
  • 4 ≥ 2 (4 is greater than or equal to 2)

Practice

Try to compare the following numbers using inequality symbols:

  • -5 and -2
  • 3 and 5
  • -1 and 0
  • 2 and 4

Answer Key

  • -5 < -2
  • 3 < 5
  • -1 < 0
  • 2 < 4

Conclusion

Q: What is the difference between < and >?

A: The < symbol is used to indicate that a number is less than another number, while the > symbol is used to indicate that a number is greater than another number.

Q: How do I know which inequality symbol to use?

A: To determine which inequality symbol to use, you need to compare the two numbers. If the first number is less than the second number, use the < symbol. If the first number is greater than the second number, use the > symbol.

Q: What is the difference between ≤ and ≥?

A: The ≤ symbol is used to indicate that a number is less than or equal to another number, while the ≥ symbol is used to indicate that a number is greater than or equal to another number.

Q: Can I use inequality symbols to compare fractions?

A: Yes, you can use inequality symbols to compare fractions. For example, if you want to compare 1/2 and 3/4, you can use the > symbol because 3/4 is greater than 1/2.

Q: Can I use inequality symbols to compare decimals?

A: Yes, you can use inequality symbols to compare decimals. For example, if you want to compare 0.5 and 0.7, you can use the > symbol because 0.7 is greater than 0.5.

Q: Can I use inequality symbols to compare negative numbers?

A: Yes, you can use inequality symbols to compare negative numbers. For example, if you want to compare -3 and -5, you can use the > symbol because -3 is greater than -5.

Q: Can I use inequality symbols to compare zero?

A: Yes, you can use inequality symbols to compare zero. For example, if you want to compare 0 and 5, you can use the < symbol because 0 is less than 5.

Q: Can I use inequality symbols to compare numbers with different signs?

A: Yes, you can use inequality symbols to compare numbers with different signs. For example, if you want to compare -3 and 5, you can use the < symbol because -3 is less than 5.

Q: Can I use inequality symbols to compare numbers with the same sign?

A: Yes, you can use inequality symbols to compare numbers with the same sign. For example, if you want to compare 3 and 5, you can use the < symbol because 3 is less than 5.

Q: Can I use inequality symbols to compare numbers with decimal points?

A: Yes, you can use inequality symbols to compare numbers with decimal points. For example, if you want to compare 3.5 and 4.2, you can use the < symbol because 3.5 is less than 4.2.

Q: Can I use inequality symbols to compare numbers with exponents?

A: Yes, you can use inequality symbols to compare numbers with exponents. For example, if you want to compare 2^3 and 2^4, you can use the < symbol because 2^3 is less than 2^4.

Conclusion

In this article, we answered frequently asked questions about inequality symbols. We covered topics such as the difference between < and >, how to determine which inequality symbol to use, and how to compare fractions, decimals, negative numbers, zero, numbers with different signs, numbers with the same sign, numbers with decimal points, and numbers with exponents.