Question

If $X=\{8^n-7n-1|nϵN\}$ and $Y=\{49n-49|nϵN\}$, then

• A. $X\subset Y$
• B. $Y\subset X$
• C. $X=Y$
• D. $X\cap Y=\varphi$

Answer 1

The correct option is A $X\subset Y$

If $X=\{8^n-7n-1|nϵN\}=\{0,49,490,....\}$
$Y=\{49n-49|nϵN\}=\{0,49,98,147,....,490,...\}$
Clearly, every element of X is in Y but every element of Y is not in X.
$\therefore X\subset Y$