Solved on Jan 19, 2024

Find the set of counting numbers less than or equal to 3, expressed using set notation and listing method. $\{1, 2, 3\}$

STEP 1

Assumptions
1. Counting numbers are the positive integers starting from 1.
2. The set includes all counting numbers less than or equal to 3.

STEP 2

Identify the first counting number.
Counting numbers start from 1.

STEP 3

List all counting numbers starting from 1 up to and including 3.
The counting numbers less than or equal to 3 are 1, 2, and 3.

STEP 4

Express the set using set notation.
The set notation for the counting numbers less than or equal to 3 is:
$\{x \in \mathbb{N} \mid x \leq 3\}$

STEP 5

Use the listing method to describe the set.
The set can be listed as:
$\{1, 2, 3\}$

STEP 6

Combine the set notation and the listing method to fully describe the set.
The set of all counting numbers less than or equal to 3 is:
$\{x \in \mathbb{N} \mid x \leq 3\} = \{1, 2, 3\}$

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Find the set of counting numbers less than or equal to 3, expressed using set notation and listing method. $\{1, 2, 3\}$

STEP 1

Assumptions
1. Counting numbers are the positive integers starting from 1.
2. The set includes all counting numbers less than or equal to 3.

STEP 2

Identify the first counting number.
Counting numbers start from 1.

STEP 3

List all counting numbers starting from 1 up to and including 3.
The counting numbers less than or equal to 3 are 1, 2, and 3.

STEP 4

Express the set using set notation.
The set notation for the counting numbers less than or equal to 3 is:
$\{x \in \mathbb{N} \mid x \leq 3\}$

STEP 5

Use the listing method to describe the set.
The set can be listed as:
$\{1, 2, 3\}$

STEP 6

Combine the set notation and the listing method to fully describe the set.
The set of all counting numbers less than or equal to 3 is:
$\{x \in \mathbb{N} \mid x \leq 3\} = \{1, 2, 3\}$

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Find the set of counting numbers less than or equal to 3, expressed using set notation and listing method. {1,2,3}\{1, 2, 3\}{1,2,3}

STEP 1

Assumptions1. Counting numbers are the positive integers starting from 1.2. The set includes all counting numbers less than or equal to 3.

STEP 2

Identify the first counting number.Counting numbers start from 1.

STEP 3

List all counting numbers starting from 1 up to and including 3.The counting numbers less than or equal to 3 are 1, 2, and 3.

STEP 4

Express the set using set notation.The set notation for the counting numbers less than or equal to 3 is:{x∈N∣x≤3}\{x \in \mathbb{N} \mid x \leq 3\}{x∈N∣x≤3}

STEP 5

Use the listing method to describe the set.The set can be listed as:{1,2,3}\{1, 2, 3\}{1,2,3}

STEP 6

Combine the set notation and the listing method to fully describe the set.The set of all counting numbers less than or equal to 3 is:{x∈N∣x≤3}={1,2,3}\{x \in \mathbb{N} \mid x \leq 3\} = \{1, 2, 3\}{x∈N∣x≤3}={1,2,3}

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Find the set of counting numbers less than or equal to 3, expressed using set notation and listing method. $\{1, 2, 3\}$

Assumptions
1. Counting numbers are the positive integers starting from 1.
2. The set includes all counting numbers less than or equal to 3.

Identify the first counting number.
Counting numbers start from 1.

List all counting numbers starting from 1 up to and including 3.
The counting numbers less than or equal to 3 are 1, 2, and 3.

Express the set using set notation.
The set notation for the counting numbers less than or equal to 3 is:
$\{x \in \mathbb{N} \mid x \leq 3\}$

Use the listing method to describe the set.
The set can be listed as:
$\{1, 2, 3\}$

Combine the set notation and the listing method to fully describe the set.
The set of all counting numbers less than or equal to 3 is:
$\{x \in \mathbb{N} \mid x \leq 3\} = \{1, 2, 3\}$