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Taking the set of natural numbers as th...

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 }

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AI Generated Solution

To find the complements of the given sets with the universal set being the set of natural numbers (N), we will follow these steps for each part: ### Solution Steps: 1. **(i)** Set: {x : x is an even natural number} - Complement: {x : x is an odd natural number} 2. **(ii)** Set: {x : x is an odd natural number} ...
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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 ge 7} (xi) {x : x in N and 2x + 1 gt 10} .

taking the set of natural numbers as the universal set,write down the complement of the following sets :

Knowledge Check

  • The number of (6x+7x) for natural x is always divisible by

    A
    a. 13
    B
    b. Both 5 and 13
    C
    c. 5
    D
    d. None of these
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