Question

write the set in set builder form.
{1/3,3/5,5/7,7/9,9/11}​

Answer 1

Step-by-step explanation:

The set builder form of

1

,

3

,

5

,

7

,

9

,

11

,

13

is,

A

=

{

x

:

x

i

s

a

n

o

d

d

n

u

m

b

e

r

,

1

≤

x

≤

13

}

(b)

The set builder form of

3

,

6

,

9

,

12

,

15

Answer 2

The set in set builder form can be written as S= {$\frac{2n-1}{2n+1}$, n ∈ N, 1 ≤ n ≤ 4}

Given: Roster form = {1/3, 3/5, 5/7, 7/9, 9/11}

To find: Set builder form of the set

Solution:

We know that,

Set-builder notation is a mathematical notation for describing a set by representing its elements or explaining the properties that its members must satisfy.

Set builder notation of the set {1/3, 3/5, 5/7, 7/9, 9/11} would be

S= {x: x =$\frac{2n-1}{2n+1}$, n ∈ N, 1 ≤ n ≤ 4}

Checking for roster form, we get

n = 1 ⇒ x = 1/3

n = 2 ⇒ x = 3/5

n = 3 ⇒ x = 5/7

n = 4 ⇒ x = 7/9

∴ The set in set builder form can be written as S= {$\frac{2n-1}{2n+1}$, n ∈ N, 1 ≤ n ≤ 4} Answer

SPJ2