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Question
If X = {8n – 7n – 1 | n ∈ N} and Y = {49n – 49 | n ∈ N}. Then ______.
Options
X ⊂ Y
Y ⊂ X
X = Y
X ∩ Y = Φ
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Solution
If X = {8n – 7n – 1 | n ∈ N} and Y = {49n – 49 | n ∈ N}. Then X ⊂ Y.
Explanation:
Given that, X = {8n – 7n – 1 | n ∈ N}
= {0, 49, 490, ...}
And Y = {49n – 49 | n ∈ N}
= {0, 49, 98, ...}
Here, it is clear that every element belonging to X is also present in Y.
∴ X ⊂ Y.
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