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Quantitative Aptitude

Solving Inequalities

If X =4 n -3 ...

Question

If $X = 4^{n} - 3 n - 1; n ϵ N$ and $Y = 9 (n - 1) : n ϵ N,$ then precisely

A

X \subset Y

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B

X \subseteq Y

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C

X = Y

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D

X \supseteq Y

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Solution

The correct option is A $X \subset Y$
Check by putting values for N.
X: 0, 9, 54, 243...
Y: 0, 9, 18, 27, 36...
It is obvious that X is a subset of Y.

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Similar questions

If X = { $4^{n}$ - 3n - 1 : n ∈ N} and Y = { 9(n-1) : n ∈ N}, then X ∪ Y is equal to

X = {4^{n} - 3 n - 1 : n \in N}

Y = {9 (n - 1) : n \in N}

N

is the set of natural numbers, then

X \cup Y

X = {4^{n} - 3 n - 1; n \in R}

Y = {9 (n - 1); n \in N}

X \cap Y =

X = {4^{n} - 3 n - 1 : n ϵ N} a n d Y = {9 (n - 1) : n ϵ N}

, where N is the set of natural numbers, then

X \cup Y

X = {4^{n} - 3 n - 1 : n ϵ N} a n d Y = {9 (n - 1) : n ϵ N}

, where N is the set of natural numbers, then

X \cup Y

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