If X = {8n – 7n – 1 | n ∈ N} and Y = {49n – 49 | n ∈ N} – InterviewSolution

InterviewSolution

1.

If X = {8n – 7n – 1 | n ∈ N} and Y = {49n – 49 | n ∈ N}. ThenA. X ⊂ YB. Y ⊂ X C. X = YD. X ∩ Y = ϕ

Answer»

A. X ⊂ Y

Given: X = {8ⁿ – 7n – 1 | n ∈ N} and Y = {49n – 49 | n ∈ N}

X = {8ⁿ – 7n – 1 | n ∈ N}

On putting n = 1, 2, 3….

X = {0, 49, 490………}

Y = {49n – 49 | n ∈ N}

On putting n = 1, 2, 3, 4,….,11,…

Y = {0, 49, 98, 147,………, 490………}

Clearly, X ⊂ Y

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