Question

x={x/xis an even number, 1<x<8}. write this set set in roaster method
{0,2,4,6}
{2,4,6}
{2,4,6,8}
{0,2,4,6,8}​​

Answer 1

Answer:

${ \large{ \underline{ \sf{Given }}}}$

$\: \: \: \: \: \: \: \: \: \: \: { \sf{❍ \: x = \big[x : x \: is \: an \: even \: number, 1<x<8\big]}}$

${ \large{ \underline{ \sf{Find}}}}$

$\: \: \: \: \: \: \: \: \: \: \: { \sf{❍ \: Write \: the \: set \: in \: Roster \: Form\: }}$

${ \large{ \underline { \sf{Solution}}}}$

The given set in roster form is

$\: \: \: \: \: { \dashrightarrow{ \sf{x = [ 2,4,6]}}}$

${ \large{ \underline{ \sf{Learn \: More}}}}$

For Example:

In Roster Form :

$\: \: \: \: \: \: \: \: \: \: \: \: { \sf{A= [a, e, i, o, u ] \: \: }}$

We list down all the elements of the set between {} brackets. This is called the roster form of writing sets. In roster form, all elements of the set are written, separated by commas, within curly brackets.

In Set Builder form:

$\: \: \: \: \: \: \: \: { \sf{A =</p><p>[x:x \: is \: a \: vowel \: letter \: in \: the \: English \: alphabet]}} \:$

${ \large{ \sf \underline{Note}}}$

I written [] brackets in the place of {} brackets due to latex problem. You have to use only {} brackets :)