Question

the set {0,2,6,12,20} in set builder form​

Answer 1

Question :

The set {0,2,6,12,20} in set builder form.

AnsWer:

A={x:x is whole no. | N is less than 5. }

Explanation :

Let set A were it's element 0,2,6,12,20.

$\tt A = \{0 , 2 , 6 ,12 ,20 \}$

It's Set builder form is,

$\tt A = \{x :x \: is \: whole \: no. \: were \: {N}^{2} + N |0\leq N \: 5.\}$

Let's,

putting whole no,

When N= 0.

$\tt \leadsto{N}^{2} + N. \\ \tt \leadsto{0}^{2} + 0. \\ \tt \leadsto0.$

When,N = 1.

$\leadsto \tt {N}^{2} + N. \\ \leadsto \tt{1}^{2} + 1. \\ \tt \leadsto2.$

When, N= 2.

$\leadsto \tt {N}^{2} + N. \\ \leadsto \tt{2}^{2} + 2. \\ \tt \leadsto6.$

When, N = 3.

$\leadsto \tt {N}^{2} + N. \\ \leadsto \tt{3}^{2} + 3. \\ \tt \leadsto12.$

When, N= 4.

$\leadsto \tt {N}^{2} + N. \\ \leadsto \tt{4}^{2} + 4. \\ \tt \leadsto20.$

Therefore, the set builder form of set A is { x:x were N whole no, N²+N less than 5. }

Some information :

| Set - Set define as well define collection of object.

| Set represent in form of :

1) Roaster form or Tabular form.

2) Set builder form.

| Use curly bracket during putting any element, object in set.

Types of Sets

1) Emply set or null set.

2) Singleton set.

3) Finite set.

4) Infinity set.

5) Equal set.

6) Equivalent set.