Questions: The set …,-4,-3,-2,-1,0,1,2,3,4, … is called the set of

Transcript text: The set $\{\ldots,-4,-3,-2,-1,0,1,2,3,4, \ldots\}$ is called the set of

Solution

Solution Steps

The set $\{\ldots,-4,-3,-2,-1,0,1,2,3,4, \ldots\}$ is called the set of integers. To verify this, we can check if the set includes all positive and negative whole numbers, including zero.

Step 1: Define the Set of Integers

The set $\{\ldots,-4,-3,-2,-1,0,1,2,3,4, \ldots\}$ is defined as the set of integers. This set includes all positive and negative whole numbers, including zero.

Step 2: Verify the Set

To verify, we can list a subset of integers within a specific range. For example, the set of integers from $-10$ to $10$ is: \[ \{-10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10\} \]

Final Answer

$\boxed{\text{integers}}$

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