If = {natural numbers between 25 and 45};A={Even numbers) and B={multiples of 3). Then find AB
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Answer:
even numbers - 26,28,30,32,34,36,38,40,42,44 .
multiples of 3 - 30,36,42 .
Answer:
⇒n(A−B)=7
Step-by-step explanation:
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Given, ξ = {Natural numbers between 25 and 45}; A= {even numbers} and B {multiples of 3}. Find : n(A−B).
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ANSWER
ξ= { 26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44 } as x is a natural number between 25 and 45.
A= { 26,28,30,32,34,36,38,40,42,44 } as A is set of a multiple of 3 within the limits of the universal set already defined as ξ.
⇒n(A)=10 as there are 10 elements in the Set A.
And, B= { 27,30,33,36,39,42 } as B is a set of multiple of 3 within the limits of the universal set already defined as ξ.
⇒n(B)=6 as there are 6 elements in the Set B.
Now, A−B= { 26,28,32,34,38,40,44 }
⇒n(A−B)=7
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