Question

Express the following sets in the set-builder form.

$\{1,2,13,26\}$

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 $\mathrm{D}=\{1,2,13,26\}$

Thus set builder form is $\mathrm{D}=\left\{\mathrm{x}:\mathrm{x}\in \mathrm{N}\mathrm{and}\mathrm{x}\mathrm{is}\mathrm{a}\mathrm{factor}\mathrm{of}26\right\}$

Hence, the set builder form of $\{1,2,13,26\}$ is $\left\{x:x\in N\mathrm{and}x\mathrm{is}a\mathrm{factor}\mathrm{of}26\right\}$.