Question

a set B consists of all natural numbers (counting numbers) less than or equal to 100. Use set-builder notation to define B.

Answer 1

B={x:
`x\leq 100, x\in N`}

Explanation:

We are given that a set B consist of all natural numbers ( counting numbers) less than or equal to 100.

We have to write given set in set builder notation.

Let x be the element belongs to natural number.

Then , the set B in set builder form can be written as

B={x:
`x\leq 100, x\in N`}

Hence, the set builder form of given set is given by

B={x:
`x\leq 100, x\in N`}

Answer:B={x:
`x\leq 100, x\in N`}

Answer 2

Answer: The required set-builder notation is :

`B=\{x:x\epsilon \mathbb{N},x\leq 100\}.`

Step-by-step explanation: We are given to write the following set B in set-builder form :

the set B consists of all natural numbers less than or equal to 100.

In set-builder form, a variable x is used to represent each and every element of the set.

Therefore, the set B in set-builder form can be written as :

`B=\{x:x\epsilon \mathbb{N},x\leq 100\}.`

Thus, the required set-builder notation is :

`B=\{x:x\epsilon \mathbb{N},x\leq 100\}.`