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Indira Pathak
Asked: 2022-11-09T08:13:02+05:30 In:

Which of the following pairs of sets are disjoint 

(i) {1, 2, 3, 4} and {x: x is a natural number and 4 ≤ x ≤ 6} 

(ii) {a, e, i, o, u} and {c, d, e, f} 

(iii) {x: x is an even integer} and {x: x is an odd integer} 

Which of the following pairs of sets are disjoint 

(i) {1, 2, 3, 4} and {x: x is a natural number and 4 ≤ x ≤ 6} 

(ii) {a, e, i, o, u} and {c, d, e, f} 

(iii) {x: x is an even integer} and {x: x is an odd integer} 

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  1. (i) {1, 2, 3, 4} {x: x is a natural number and 4 ≤ x ≤ 6} = {4, 5, 6}

    Now, {1, 2, 3, 4} ∩ {4, 5, 6} = {4}

    Therefore, this pair of sets is not disjoint.

    (ii) {a, e, i, o, u} ∩ (c, d, e, f} = {e} Therefore, {a, e, i, o, u} and (c, d, e, f} are not disjoint.

    (iii) {x: x is an even integer} ∩ {x: x is an odd integer} = Φ

    Therefore, this pair of sets is disjoint.

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Urvashi Ranganathan
Asked: 2022-11-08T11:08:56+05:30 In:

Which of the following pairs of sets are disjoint

(i) {1, 2, 3, 4} and {x: x is a natural number and 4 ≤ x ≤ 6}

(ii) {a, e, i, o, u} and {c, d, e, f}

(iii) {x: x is an even integer} and {x: x is an odd integer}

Which of the following pairs of sets are disjoint

(i) {1, 2, 3, 4} and {x: x is a natural number and 4 ≤ x ≤ 6}

(ii) {a, e, i, o, u} and {c, d, e, f}

(iii) {x: x is an even integer} and {x: x is an odd integer}

Parabola
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  1. (i) {1, 2, 3, 4}

    {x: x is a natural number and 4 ≤ x ≤ 6} = {4, 5, 6}

    Now, {1, 2, 3, 4} ∩ {4, 5, 6} = {4}

    Therefore, this pair of sets is not disjoint.

    (ii) {a, e, i, o, u} ∩ (c, d, e, f} = {e}

    Therefore, {a, e, i, o, u} and (c, d, e, f} are not disjoint.

    (iii) {x: x is an even integer} ∩ {x: x is an odd integer} = Φ

    Therefore, this pair of sets is disjoint.

    • 0
Gajendra Suresh
Asked: 2022-10-31T18:33:38+05:30 In:

Which of the following pairs of sets are disjoint
(i) {1, 2, 3, 4} and {x: x is a natural number and 4 ≤ x ≤ 6}
(ii) {a, e, i, o, u} and {c, d, e, f}
(iii) {x: x is an even integer} and {x: x is an odd integer}

Which of the following pairs of sets are disjoint
(i) {1, 2, 3, 4} and {x: x is a natural number and 4 ≤ x ≤ 6}
(ii) {a, e, i, o, u} and {c, d, e, f}
(iii) {x: x is an even integer} and {x: x is an odd integer}
Parabola
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1 Answer

  1. (i) {1, 2, 3, 4}
    {x: x is a natural number and 4 ≤ x ≤ 6} = {4, 5, 6}
    Now, {1, 2, 3, 4} ∩ {4, 5, 6} = {4}
    Therefore, this pair of sets is not disjoint.
    (ii) {a, e, i, o, u} ∩ (c, d, e, f} = {e}
    Therefore, {a, e, i, o, u} and (c, d, e, f} are not disjoint.
    (iii) {x: x is an even integer} ∩ {x: x is an odd integer} = Φ
    Therefore, this pair of sets is disjoint.

    • 0