Question

Express the following sets in the set-builder form.

$\{0,4,8,12,16,20,24,28,32,36,40\}$

Answer 1

Definition : Set builder form : Set-builder notation is a notation for describing a set by indicating the properties that its members must satisfy.

Let $\mathrm{C}=\{0,4,8,12,16,20,24,28,32,36,40\}$

Thus set builder form is $\mathrm{C}=\left\{\mathrm{x}:\mathrm{x}=4\mathrm{p},\mathrm{where}\mathrm{p}\in \mathrm{W}\mathrm{and}\mathrm{p}<11\right\}$

Hence, the set builder form of $\{0,4,8,12,16,20,24,28,32,36,40\}$ is $\left\{x:x=4p,\mathrm{where}p\in W\mathrm{and}p<11\right\}$.