If A - x - x -3 n - n - N - 4 - n - 6 and B -12-15-18- then A and B areA- equal setsB- equivalent setsC- disjoint setsD- null sets

The correct option is A equal sets nbsp;Given the set A = x : x = 3n, n ∈ N, 4 ≤ n ≤ 6}. To find the elements of A, we substitute n = 4, 5 and 6 in the equ ...

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Standard IX

Mathematics

Equal and Equivalent Sets

If A = x : x ...

Question

If A={ $x : x = 3 n, n \in N, 4 \leq n \leq 6}$ and B = {12, 15, 18}, then A and B are ___________.

equal sets

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equivalent sets

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disjoint sets

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null sets

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Solution

The correct option is A
equal sets

Given the set A = { $x : x = 3 n$ , $n$ $\in N, 4 \leq n \leq 6} .$

To find the elements of A, we substitute $n$ = 4, 5 and 6 in the equation $x = 3 n$ .

Thus, we get the set A = {12, 15, 18}.

Given B = {12, 15, 18}.

A and B have the same elements.

$∴$ A and B are equal sets.

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If A={x:x=3n, n∈N,4≤n≤6} and B = {12, 15, 18}, then A and B are ___________.

The correct option is A equal sets Given the set A = { x:x=3n, n ∈N,4≤n≤6}. To find the elements of A, we substitute n = 4, 5 and 6 in the equation x=3n. Thus, we get the set A = {12, 15, 18}. Given B = {12, 15, 18}. A and B have the same elements. ∴ A and B are equal sets.

If A={ $x : x = 3 n, n \in N, 4 \leq n \leq 6}$ and B = {12, 15, 18}, then A and B are ___________.