Question

8. If W={u,v,w,x,y,z }, X= { 13,15,17,19,21}, then find: i) n(W) ii)n(X). iii) Is n(W)= n(X)?​

Answer 1

Given:

W={u,v,w,x,y,z }, X= { 13,15,17,19,21},

To find:

i) n(W)

ii)n(X).

iii) Is n(W)= n(X)?

Solution:

i) n(w)

W={u,v,w,x,y,z },

In order to find the n(w), we need to count the elements of the given set. There are 6 elements.

=> n(w) = 6

ii)n(x)

X= { 13,15,17,19,21},

In order to find the n(x), we need to count the elements of the given set. There are 5 elements.

=> n(x) = 5

iii) Is n(W)= n(X)?

n(w) = 6 and n(x) = 5

we can see that the elements in both the sets are not equal. So, n(W) $\neq$ n(X)

Answer 2

Given :  W={u,v,w,x,y,z }, X= { 13,15,17,19,21},

To find:

i) n(W)

ii)n(X).

iii) Is n(W)= n(X)?​

Solution:

if S is a set of elements

then n(S) represents number of elements in the set

W={u,v,w,x,y,z }

there are 6 elements u,v,w,x,y,z

Hence n(W) = 6

X= { 13,15,17,19,21},

there are 5 elements 13,15,17,19,21

Hence n(X) = 5

6 ≠ 5

=> n(W)  ≠ n(X)

No , n(W) is not equal to  n(X)

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