If X-x-x-8-n - 7n -1- n - N- and Y -y-y-49n-49- n - N-X - YY - XX - Y - XX - Y - Y

The correct options are A X ⊂ Y C X ∩ Y = XX ={x:x=8^n 7n 1} ={0, 49, 490,....} Y ={y:y=49n 49} = {0,49, 98,147,....} So every elements of X is in Y but ever ...

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Byju's Answer

Standard XII

Mathematics

Subset

If X={x:x=8^n...

Question

If $X = {x : x = 8^{n} - 7 n - 1 | n \in N}$ and $Y = {y : y = 49 n - 49 | n \in N}$

X \subset Y

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Y \subset X

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X \cap Y = X

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X \cap Y = Y

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Solution

The correct options are
A $X \subset Y$
C $X \cap Y = X$
$X = {x : x = 8^{n} - 7 n - 1} = {0, 49, 490, . . . .}$
$Y = {y : y = 49 n - 49} = {0, 49, 98, 147, . . . .}$
So every elements of X is in Y but every element of Y is not in X.
So $X \subset Y \Rightarrow X \cap Y = X$

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Similar questions

Q. If X = {8ⁿ – 7n – 1 : n ∈ N} and Y = {49n – 49 : n ∈ N}. Then,
(a) X ⊂ Y
(b) Y ⊂ X
(c) X = Y
(d) X ∩ Y = ϕ

If X = { $8^{n} - 7 n - 1 : n ϵ N$ } and Y = { $49 (n - 1) : n ϵ N$ }, then prove that $X \subseteq Y$ .

Q. If

X = {x : x = 8^{n} - 7 n - 1 | n \in N}

and

Y = {y : y = 49 n - 49 | n \in N}

Q. If

X = {x : x = 8^{n} - 7 n - 1, n \in N}

and

Y = {y : y = 49 n - 49, n \in N},

then which of the following is (are) TRUE?

Q. If

X = {x : x = 8^{n} - 7 n - 1, n \in N}

and

Y = {y : y = 49 n - 49, n \in N},

then which of the following is (are) TRUE?

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If X={x:x=8n−7n−1|n∈N} and Y={y:y=49n−49|n∈N}

The correct options are A X⊂Y C X∩Y=XX={x:x=8n−7n−1}={0,49,490,....} Y={y:y=49n−49}={0,49,98,147,....} So every elements of X is in Y but every element of Y is not in X. So X⊂Y⇒X∩Y=X

If $X = {x : x = 8^{n} - 7 n - 1 | n \in N}$ and $Y = {y : y = 49 n - 49 | n \in N}$

The correct options are
A $X \subset Y$
C $X \cap Y = X$
$X = {x : x = 8^{n} - 7 n - 1} = {0, 49, 490, . . . .}$
$Y = {y : y = 49 n - 49} = {0, 49, 98, 147, . . . .}$
So every elements of X is in Y but every element of Y is not in X.
So $X \subset Y \Rightarrow X \cap Y = X$