Question

If $X=[8^n-7n-1/nϵN]$ and $Y=\left[49\right(n-1\left)/nϵN\right]$, then

• A. $X\subset Y$
• B. $Y\subset X$
• C. $x=Y$
• D. information not sufficient

Answer 1

The correct option is A $X\subset Y$

$X=8^n-7n-1=0,49,490,................$

$Y=49(n-1)=49n-49=0,49,98,147,.........490$

Clearly every element of X is in Y but every element of Y is not in X.

Therefore X is subset of Y.