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If X={8^n-7n-1 | n in N} and Y={49n-49| ...

If `X={8^n-7n-1 | n in N}` and `Y={49n-49| n in N}`. Then

A

`X sub Y`

B

`Y sub X`

C

`X = Y`

D

`X nn Y = phi`

Text Solution

Verified by Experts

The correct Answer is:
A
`X = (8^(n) - 7 n - 1| n in N } = { 0 , 49, 490, "….."}`
`Y = {49n - 49 | n in N} = {0, 49, 98, 147, "….."}`
Clearly, every elements of X is in Y but every element of Y is not in X.
`:. X sub Y`
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