Question

A and B are two sets such that: n(A-B) = 14 + x,
n (B - A) = 3x and n(
A B ) = x, draw a Venn
diagram to illustrate information and if
n(A) = n(B) then find the value of x.


PLZ ANSWER,I WILL MARK AS BRAINLIEST​

Answer 1

x = 49

(i) n (A) = n (A – B) + n (A ∩ B)

=> 14 + x + x

=> 14 + 2x

N (B) = n (B – A) + n (A ∩ B)

=> 3x + x

=> 4x

Her n (A) = n (B) (It is given)

14 + 2x = 4x

x = 7

(ii) n (A ∪ B) = n (A – B) + n (B – A) + n (A ∩ B)

= 14 + x+ 3x + x

= 14 + 5x

= 14 + 5 x 7

= 14 + 35

= 49

Therefore, the value of x is 49.

Answer 2

Answer:

Step-by-step explanation:

x = 49

(i) n (A) = n (A – B) + n (A ∩ B)

=> 14 + x + x

=> 14 + 2x

N (B) = n (B – A) + n (A ∩ B)

=> 3x + x

=> 4x

Her n (A) = n (B) (It is given)

14 + 2x = 4x

x = 7

(ii) n (A ∪ B) = n (A – B) + n (B – A) + n (A ∩ B)

= 14 + x+ 3x + x

= 14 + 5x

= 14 + 5 x 7

= 14 + 35

= 49

Therefore, the value of x is 49.