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Question
If X={8n−7n−1|n∈N} and Y={49(n−1)|n∈N}, then
If X={8n−7n−1|n∈N} and Y={49(n−1)|n∈N}, then
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Solution
The correct option is A X⊂Y
Putting n=1,2,3,... in the sets
X={8n−7n−1|n∈N}={0,49,490,...}
Y={49(n−1)|n∈N}={0,49,98,...}
From here, clearly X⊂Y
Putting n=1,2,3,... in the sets
X={8n−7n−1|n∈N}={0,49,490,...}
Y={49(n−1)|n∈N}={0,49,98,...}
From here, clearly X⊂Y
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