Question

write the following [0,1,2,...,10] in set builder notation

Answer 1

Answer:

$\{x \: | x\in \: N \: \: \: ,0 \leqslant x \leqslant 10 \}$

Answer 2

Answer:

set builder form for the set [0,1,2,...,10]  : {x | x ∈ W , 0≤ W ≤ 10}

Step-by-step explanation:

Set-Builder Notation: This is a mathematical notation, especially used in set theory, where the properties of the set elements are generalized and every set element must follow the property.

Given set is [0,1,2,...,10]; let it be A = {0,1,2,...,10}

In the given set A, we can figure out that the given numbers are whole numbers staring from 0 to 10. ⇒ The common property in this set is that the numbers are whole numbers

Therefore the set builder form of A = {x | x ∈ W , 0≤ W ≤ 10}