Question

the Let A = {1, 3, 5, 7 groo} B = {x / xe = 2n-In EN} and
C = {x/xx = 4N - In EN? prove that

A) C
$not \: equal$
B​

Answer 1

Step-by-step explanation:

Correct option is

C

{x:x=7n−1,n∈R}

For x∈(X∩Y)

⇒n

3

+2n+1=3n

2

+7

⇒n

3

−3n

2

+2n−6=0

⇒(n−3)(n

2

+2)=0

as n belongs to R

⇒n=3

x=n

3

+2n+1=3n

2

+7

⇒x=3

3

+2(3)+1=3(3)

2

+7

⇒x=34

In option C for n=5

x=7(5)−1=34

In (a) and (b) x



=34 for any value of n

So option C is correct.