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If A = {x: x is an even prime number}, t...

If A = {x: x is an even prime number}, then set A is empty.

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A= { x: x is a natural number} B= {x: x is an even natural number} find A intersection B

Identify the null sets among the following C = {x: x is an even prime number } .

For each of the following pairs of sets , identify the disjoint and overlapping sets: A = { x: x is a prime number , x lt 8 } B = {x: x is an even natural number , x lt 8 } .

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 }, find(i) A nnB (ii) A nnC (iii) A nnD (iv) B nnC (v) B nnD (vi) C nnD

STATEMENT-1 : The dual statement of "xis a perfect square or xis a prime number" is "x is a perfect square and a prime number and STATEMENT-2 : If x is a prime number, then it isnot a perfect square.

If A = { x | x in W , x is a multiple of 3 less than 20 } and B = { x | x is an even whole number less than 20 } , then show the relationship between these sets by a Venn diagram .

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The set of odd prime numbers is the empty set.

Taking the set of natural numbers as the universal set, write down the complements of the following sets: (i) {x : x is an even natural number} (ii) { x : x is an odd natural number } (iii) {x : x is a positive multiple of 3} (iv) { x : x is a prime number } (v) {x : x is a natural number divisible by 3 and 5} (vi) { x : x is a perfect square } (vii) { x : x is a perfect cube} (viii) { x : x + 5 = 8 }(ix) { x : 2x + 5 = 9} (x) { x : x ≥ 7 }(xi) { x : x ∈ N and 2x + 1 > 10 }

ICSE-SETS -EXERCISE 6(B)
  1. State, whether the following pairs of sets are equivalent or not: P=...

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  2. State, whether the following pairs of sets are equal or not: A={2,4,...

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  3. State, whether the following pairs of sets are equal or not: M={x:x i...

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  4. State, whether the following pairs of sets are equal or not: E={x:x^(...

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  5. State, whether the following pairs of sets are equal or not: A={x:x i...

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  6. State whether each of the following sets is a finite set or an infinit...

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  7. State whether each of the following sets is a finite set or an infinit...

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  8. State whether each of the following sets is a finite set or an infinit...

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  9. State whether each of the following sets is a finite set or an infinit...

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  10. State whether each of the following sets is a finite set or an infinit...

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  11. {x : x =(n-2)/(n+1), n in W}

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  12. Answer, whether the following statements are true or false. Give reaso...

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  13. If E = {factors of 16} and F = {factors of 20}, then E = F.

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  14. The set A = {integers less than 20} is a finite set.

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  15. If A = {x: x is an even prime number}, then set A is empty.

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  16. The set of odd prime numbers is the empty set.

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  17. The set of squares of integers and the set of whole numbers are equal ...

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  18. If n(P) = n(M), then P → M.

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  19. If set P = set M, then n(P) = n(M).

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  20. n(A) = n(B) rArr A=B

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