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}

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

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Which of the following pairs of sets are disjoint (i) {1, 2, 3

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Which of the following pairs of sets are disjoint
(i) { $1, 2, 3, 4$ } and { $x : x$ is a natural number and $4 \leq x \leq 6$ }
(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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Which of the following pairs of sets are disjoint
(i) {

1, 2, 3, 4

} and {

x : x

is a natural number and

4 \leq x \leq 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}

14 mins ago

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14 mins ago

Text solutionVerified

(i)

A = {1, 2, 3, 4}

B = {x : x is a natural number and 4 \leq x \leq 6} = {4, 5, 6}

Now,

A \cap B = {1, 2, 3, 4} \cap {4, 5, 6} = {4}

Therefore, this pair of sets are not disjoint.

(ii)

A = {a, e, i, o, u}

B = {c, d, e, f}

A \cap B = {e}

Therefore, this pair of sets are not disjoint.

(iii)

A = {x : x is an even integer}

B = {x : x is an odd integer}

A \cap B = ϕ

Therefore, this pair of sets is disjoint.

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Question Text	Which of the following pairs of sets are disjoint (i) { $1, 2, 3, 4$ } and { $x : x$ is a natural number and $4 \leq x \leq 6$ } (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}
Answer Type	Text solution:1
Upvotes	150

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}

Text solutionVerified

Practice questions from similar books

Which of the following pairs of sets are disjoint
(i) { $1, 2, 3, 4$ } and { $x : x$ is a natural number and $4 \leq x \leq 6$ }
(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}