The sets 1 , 2 , 3 , 4 and x : x i s a n a t u r a l n u m b e r a n d 4 ≤ x ≤ 6 are disjoint or not.

Given sets, 1 , 2 , 3 , 4 and { x : x is a natural number and 4 ≤ x ≤ 6 } = { 4 , 5 , 6 } We know that if A and B are two sets such that A ∩ B = ∅ , then A and B are called disjoint sets. Now, 1 , 2 , 3 , 4 ∩ 4 , 5 , 6 We know that the intersection of two sets is the set of all elements which are common to both sets. 1 , 2 , 3 , 4 ∩ 4 , 5 , 6 = 4 Therefore, the given sets are not disjoint sets.

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MATHEMATICS Textbook for Class XI>Chapter 1 - Sets>EXERCISE 1.4>Q 7

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If $A = {x : x$ is a natural number $}$ , $B = {x : x$ is an even natural number } $C = {x : x$ is an odd natural number $}$ and $D = {x : x$ is a prime number $}$ , then which set is equal to $A \cap C$ ?

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Important Questions on Sets

EASY

11th Mizoram Board

IMPORTANT

MATHEMATICS Textbook for Class XI>Chapter 1 - Sets>EXERCISE 1.4>Q 7

If $A = {x : x$ is a natural number $}$ , $B = {x : x$ is an even natural number } $C = {x : x$ is an odd natural number $}$ and $D = {x : x$ is a prime number $}$ , then, $A \cap D$ is same as which set?