The set of negative integers greater than -6, a subset of the integers, unveils a fascinating realm of mathematical concepts. Delving into its properties and applications, we embark on a journey that unravels the intricacies of this intriguing set.

Negative integers, numbers less than zero, possess unique characteristics that distinguish them from their positive counterparts. The symbol “>” denotes the “greater than” relationship, indicating that a number on the left is larger than the one on the right. In the context of negative integers, “greater than” implies a closer proximity to zero.

Negative Integers: Set Of Negative Integers Greater Than -6

Negative integers are the set of integers that are less than zero. They are often represented with a minus sign (-). For example, -5 is a negative integer.

Negative integers have several properties. First, they are ordered. This means that for any two negative integers a and b, either a is less than b, a is greater than b, or a is equal to b. Second, negative integers can be added, subtracted, multiplied, and divided.

However, there are some special rules that apply when performing these operations.

Greater Than

6

The mathematical symbol “>” means “greater than”. In the context of integers, a is greater than b if a is to the right of b on the number line. For example, -5 is greater than -6 because -5 is to the right of -6 on the number line.

The set of negative integers greater than -6 is the set of all negative integers that are greater than – 6. This set can be represented using set notation as follows:

“`x | x ∈ Z and x >

6

“`

Frequently Asked Questions

What is the definition of a negative integer?

A negative integer is a number less than zero.

What is the meaning of “greater than” in the context of negative integers?

In the context of negative integers, “greater than” means closer to zero.

What is the set of negative integers greater than-6?

The set of negative integers greater than -6 is the set of all negative integers that are greater than -6. It can be represented using set notation as x | x ∈ Z, x < 0, x >-6.