If A - x - x is a letter of the word SET and B - x - x is a letter of the word SETTEE - then A and B areA- null setsB- disjoint setsC- power setsD- equal sets

The correct option is D equal setsA = x: x is a letter of the word SET ⇒ A = S, E, T ⇒ n(A) = 3 B = x: x is a letter of the word SETTEE ⇒ B = S, E, T ⇒ nbs ...

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Standard VII

Mathematics

Equal Sets

If A = x : x ...

Question

If A = {x : x is a letter of the word SET} and B = {x : x is a letter of the word SETTEE}, then A and B are __________.

null sets

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disjoint sets

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power sets

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equal sets

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Solution

The correct option is D equal sets
A = {x: x is a letter of the word SET}

$\Rightarrow$ A = {S, E, T}

$\Rightarrow$ n(A) = 3

B = {x: x is a letter of the word SETTEE}

$\Rightarrow$ B = {S, E, T}

$\Rightarrow$ n(B) = 3

As A and B have the same cardinal number and the same elements, A = B

$∴$ A and B are equal sets.

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If A = {x : x is a letter of the word SET} and B = {x : x is a letter of the word SETTEE}, then A and B are __________.

The correct option is D equal setsA = {x: x is a letter of the word SET} ⇒ A = {S, E, T} ⇒ n(A) = 3 B = {x: x is a letter of the word SETTEE} ⇒ B = {S, E, T} ⇒ n(B) = 3 As A and B have the same cardinal number and the same elements, A = B ∴ A and B are equal sets.