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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"}`.

Text Solution

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The correct Answer is:
(i), (iv) are empty sets
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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 "}

    A
    `{x:x in Z, x^2=4}`
    B
    ` {x:x in Z, |x| =1}`
    C
    `{x:x " is an even prime number "}`
    D
    `{x:x inR , x^2 -x=4}`

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