Math, asked by sanyamanik24, 9 months ago

32. If A and B are two sets such that n(only A) = 14 + x, n( only B) = 3x, n(ANB) = x. Draw a Venn
diagram to illustrate this.​

Answers

Answered by swethaiyer2006
2

Answer:

Step-by-step explanation:

Evening Here is your answer:-)

n(a-b)=20+x

n(b-a)=3x

n(a ∩ b) =x+1

We know that

n(a-b) = n(a)-n(a ∩ b)

∴n(a) = n(a-b) + n(a ∩ b)

= (20+x) + (x + 1)

= 2x + 21

Similarly, n(b) = n(b-a) + n(a ∩ b)

=3x + (x+1)

=4x + 1

According to the question,

n(a) = n(b)

∴2x + 21 = 4x +1

⇒2x = 20

∴ x = 10

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