How many ways of expressing a set?

1.	How many ways of expressing a set?
Answer» There are two main ways of expressing a set: (i) Tabular form or Roster form: In this form we list all the members of the set separating them by commas and enclosing them in only brackets. Ex. The set of the first ten perfect square numbers is written as S = {1, 4, 9, 16, 25, 36, 49, 64, 81, 100} Note : • The elements of a set can be written in any order. • An element of a set is not written more than once (ii) Set-builder form or Rule method: In this method, instead of listing all elements of a set, we write the set by some special property or properties satisfied by all the elements and write it as: A = { \(x\) : P(\(x\))} or A = { \(x\) \| \(x\) has the property P(\(x\))} Ex. The set of the first ten perfect square numbers is written as: S = {\(x\) \| \(x\) = n², 1 ≤ n ≤ 10, n ∈ Ν }

Answer»

There are two main ways of expressing a set:

(i) Tabular form or Roster form: In this form we list all the members of the set separating them by commas and enclosing them in only brackets.

Ex. The set of the first ten perfect square numbers is written as

S = {1, 4, 9, 16, 25, 36, 49, 64, 81, 100}

Note : • The elements of a set can be written in any order.

• An element of a set is not written more than once

(ii) Set-builder form or Rule method: In this method, instead of listing all elements of a set, we write the set by some special property or properties satisfied by all the elements and write it as:

A = { \(x\) : P(\(x\))} or A = { \(x\) | \(x\) has the property P(\(x\))}

Ex. The set of the first ten perfect square numbers is written as:

S = {\(x\) | \(x\) = n², 1 ≤ n ≤ 10, n ∈ Ν }

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