set-builder form {y I x is a natural

Answered question

2022-05-13

set-builder form {y I x is a natural number and y >2}

Answer & Explanation

Nick Camelot

Nick Camelot

Skilled2023-05-14Added 164 answers

To solve the given set-builder form, {y | x is a natural number and y > 2}, we can express it using set notation and logical conditions.
The set-builder notation is typically used to describe sets based on certain conditions or properties. In this case, we want to find the set of all possible values of y, given that x is a natural number (positive whole number) and y is greater than 2.
To represent this set using set-builder notation, we can write it as follows:
{yx is a natural number and y>2}
Here, the vertical bar | separates the variable and the condition it must satisfy. The expression x is a natural number and y > 2 serves as the condition for y.
Now, since we are specifically interested in the values of y, we can ignore the condition involving x and focus on the condition y > 2. This means that y can take on any value greater than 2.
Hence, the set can be written in set-builder form as:
{yy>2}

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