If A - -x - x - 2n- n - N - and B - -x - x is a prime number- then A -and- B are - sets-jointdisjointequalfinite

The correct option is A jointA = {x : x = 2n, n ∈ nbsp;N } On substituting value of n = 1, 2, 3, ..... ⇒ A = {2, 4, 6, 8,...} B = {x : x is a prime numbe ...

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Standard IX

Mathematics

Properties of Intersection of Sets

If A = {x : x...

Question

$If A = {x : x = 2 n, n \in N}$ and $B = {x : x is a prime number},$ then $A and B$ are ________ sets.

joint

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disjoint

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equal

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finite

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Solution

The correct option is A joint
$A = {x : x = 2 n, n \in N}$

$On substituting value of n = 1, 2, 3, . . . . .$

$\Rightarrow A = {2, 4, 6, 8, . . .}$

$B = {x : x is a prime number}$

$\Rightarrow B = {2, 3, 5, 7, 11, . . .}$
Since, Set A and B has '2' as one common element between them. Hence, A and B are joint sets.

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Similar questions

Q. Let

A = \{x : x \in N\}, B = \{x : x - 2 n, n \in N\}, C = \{x : x = 2 n - 1, n \in N\}

and D = {x : x is a prime natural number}. Find:
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A \cap B

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A \cap C

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A \cap D

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B \cap C

(v)

B \cap D

(vi)

C \cap D

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(i) $A \cap B$ (ii) $A \cap C$

(iii) $A \cap D$ (iv) $B \cap C$

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If A={x:x=2n,n∈N} and B={x:x is a prime number}, then A and B are ________ sets.

The correct option is A joint A={x:x=2n,n∈N} On substituting value of n=1,2,3,..... ⇒A={2,4,6,8,...} B={x:x is a prime number} ⇒B={2,3,5,7,11,...} Since, Set A and B has '2' as one common element between them. Hence, A and B are joint sets.

$If A = {x : x = 2 n, n \in N}$ and $B = {x : x is a prime number},$ then $A and B$ are ________ sets.