Question

A set P consists of all natural numbers between 1 and 100, inclusive. Use set-builder notation to define P.

Answer 1

The set builder notation of P is:

P= x∈N

Explanation:

Set-Builder notation--

A set builder notation is a representation of a variable in the form of a set such that it states all the properties that are satisfied by it.It may also be used to represent a interval notation of some variable.

i.e. if x∈ (-10,3)

Then the set builder notation is:

x ∈ R

Here we are given a set P as: It consists of all natural numbers between 1 and 100, inclusive.

i.e. it takes all natural values from 1 to 100 and also it may take 1 and 100.

Hence, the set-builder notation of P is:

P= x∈N

Answer 2

P = 1≤x≤100
hope it helps