Question

Write the following set in tabular form and set builder form.

Set of multiples of $12$.

Answer 1

Step $1$: Write the tabular form:

Let A be the set, then

$\mathit{A}\mathbf{}\mathbf{=}\mathbf{}\mathbf{\{}\mathbf{12}\mathbf{,}\mathbf{}\mathbf{24}\mathbf{,}\mathbf{}\mathbf{36}\mathbf{,}\mathbf{}\mathbf{48}\mathbf{,}\mathbf{}\mathbf{60}\mathbf{,}\mathbf{}\mathbf{.}\mathbf{.}\mathbf{.}\mathbf{.}\mathbf{.}\mathbf{.}\mathbf{\}}$

Step $2$: Write in the set builder form:

Let A be the set of multiples of $12$.

Therefore, $\mathbf{\text{A =}}\mathbf{\{}\mathbf{x}\mathbf{:}\mathbf{}\mathbf{x}\mathbf{}\mathbf{\text{is a multiple of 12}}\mathbf{\}}$..