Which of the following are the examples ...

Which of the following are the examples of empty set ?
(i) `{x:x in N,xlt7and xgt9}`
(ii) {x : x is a common point of two perpendicular lines}

(iii) {x : x is an even natural number divisible by 3}
(iv) `{x : x^(2) = 4 and x " is an odd number"}`.

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The correct Answer is:

(i), (iv) are empty sets

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Which of the following are examples of the singleton set? (i) {x:x in Z, x^2=4} (ii) {x:x in Z, x +5 =0} (iii) {x:x in Z, |x| =1} (iv) {x :x in N, x^2=16} (v) {x:x " is an even prime number "}

`{x:x in Z, x^2=4}`

` {x:x in Z, |x| =1}`

`{x:x " is an even prime number "}`

`{x:x inR , x^2 -x=4}`

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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 ≥ 7 }(xi) { x : x ∈ N and 2x + 1 > 10 }

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Which of the following are the examples of empty set ?
(i) `{x:x in N,xlt7and xgt9}`
(ii) {x : x is a common point of two perpendicular lines}

(iii) {x : x is an even natural number divisible by 3}
(iv) `{x : x^(2) = 4 and x " is an odd number"}`.

Text Solution

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Knowledge Check

Which of the following are examples of the singleton set? (i) {x:x in Z, x^2=4} (ii) {x:x in Z, x +5 =0} (iii) {x:x in Z, |x| =1} (iv) {x :x in N, x^2=16} (v) {x:x " is an even prime number "}

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NAGEEN PRAKASHAN-SETS-Exercise 1B

Which of the following are the examples of empty set ?
(i) `{x:x in N,xlt7and xgt9}`
(ii) {x : x is a common point of two perpendicular lines}

(iii) {x : x is an even natural number divisible by 3}
(iv) `{x : x^(2) = 4 and x " is an odd number"}`.

Text Solution

Topper's Solved these Questions

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Knowledge Check

Which of the following are examples of the singleton set? (i) {x:x in Z, x^2=4} (ii) {x:x in Z, x +5 =0} (iii) {x:x in Z, |x| =1} (iv) {x :x in N, x^2=16} (v) {x:x " is an even prime number "}

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NAGEEN PRAKASHAN-SETS-Exercise 1B

Which of the following are the examples of empty set ? (i) `{x:x in N,xlt7and xgt9}` (ii) {x : x is a common point of two perpendicular lines} (iii) {x : x is an even natural number divisible by 3} (iv) `{x : x^(2) = 4 and x " is an odd number"}`.

Text Solution

Topper's Solved these Questions

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Knowledge Check

Which of the following are examples of the singleton set? (i) {x:x in Z, x^2=4} (ii) {x:x in Z, x +5 =0} (iii) {x:x in Z, |x| =1} (iv) {x :x in N, x^2=16} (v) {x:x " is an even prime number "}

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NAGEEN PRAKASHAN-SETS-Exercise 1B

Which of the following are the examples of empty set ? (i) `{x:x in N,xlt7and xgt9}` (ii) {x : x is a common point of two perpendicular lines} (iii) {x : x is an even natural number divisible by 3} (iv) `{x : x^(2) = 4 and x " is an odd number"}`.

Text Solution

Topper's Solved these Questions

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Knowledge Check

Which of the following are examples of the singleton set? (i) {x:x in Z, x^2=4} (ii) {x:x in Z, x +5 =0} (iii) {x:x in Z, |x| =1} (iv) {x :x in N, x^2=16} (v) {x:x " is an even prime number "}

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NAGEEN PRAKASHAN-SETS-Exercise 1B

Which of the following are the examples of empty set ?
(i) `{x:x in N,xlt7and xgt9}`
(ii) {x : x is a common point of two perpendicular lines}

(iii) {x : x is an even natural number divisible by 3}
(iv) `{x : x^(2) = 4 and x " is an odd number"}`.

Which of the following are the examples of empty set ?
(i) `{x:x in N,xlt7and xgt9}`
(ii) {x : x is a common point of two perpendicular lines}

(iii) {x : x is an even natural number divisible by 3}
(iv) `{x : x^(2) = 4 and x " is an odd number"}`.