If $\mathrm{A}=\{x: x$ is a natural number $\}, \mathrm{B}=\{x: x$ is an even natural number $\}$ $\mathrm{C}=\{x: x$ is an odd natural number $\}$ andD $=\{x: x$ is a prime number $\}$, find
(i) $A \cap B$
(ii) $A \cap C$
(iii) $A \cap D$
(iv) $\mathrm{B} \cap \mathrm{C}$
(v) $\mathrm{B} \cap \mathrm{D}$
(vi) $\quad C \cap D$

Answer

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Algebra

NCERT Class 11 - Math

Chapter 1

Sets

Section 4

Finite and Infinite Sets

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Video Transcript

given said E. Equal to Acts such that Acts is the natural number. So here you know that natural number is 12 three whole and so on and said be equal to access that X. Is an even natural number. So here Um natural number is two paul six eight and so on. Said C. Equal to Acts such that X. Is an old natural number. So here one three why stone and so on. And said be equal to eggs. Such that X is a prime number. So here prime numbers is to three why seven and so on. So here in part first we have to find a intersection. B. So you can see that and said A. And B. We help. Common element. So here B. So say oh E. So here A intersection B. Equal to two coma four coma six, coma eight and so on. That is the value of B. So here E intersection B. Equal to be it is the answer. Now we saw part second E Intersection C. Through here. Common element all one three, why seven and so on. So you can see that it is a set of old natural numbers. So here we can see a intersection C. Equal to see it is a answer. Now it's all part 3rd E. Intersection D. So here you can see that we have common element two three, why seven and so on. So here there is the value of B. So we can see E intersection D. Equal to D. He didn't answer. Now it's all part fel B intersection C. So here see is a set of an old natural number and be saito even natural numbers. So we can say there is no common element. So here you do that. Bye. It is about answer. Now it's all part B. Intersection D. So here we have common elements to. So you put here it is over answer. No. See see intersection D. Equal to. So here we get access. That act is old prime numbers. So it is over answer.

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