Question

Use the listing method to represent the following set. {x | x I, x ≤ 3}

Answer 1

Answer:

{ ..., 0, 1, 2, 3}

Step-by-step explanation:

Set notation is used in math to list numbers, objects or outcomes.

It uses curly brackets called "braces". Objects placed within the braces are the elements of the set.

Given set notation:   { x | x ∈ I, x ≤ 3 }

The ∈ symbol means "is an element of".

Therefore, x ∈ I means that x an element of the set of integers. (Integers are whole numbers that can be positive, negative, or zero).

The ≤ symbol means "equal to or less than".

Therefore, x ≤ 3 means that x is equal to or less than 3.

Therefore, the given set notation means:

x is an element of the set of integers equal to or less than 3

The listing method of set notation simply lists the numbers in the set.

The three dots "..." means it is infinite (goes on forever).

Therefore:

{ x | x ∈ I, x ≤ 3 } = { ..., 0, 1, 2, 3}

Answer 2

Here the set given is

• {x|x,x≤3}

So the set should be

• (-oo,3]

The set elements are

{..,1,2,3}