csat-suneung· South-Korea· csat__math-science4 marks
For an integer $n$, two sets $A ( n ) , B ( n )$ are defined as $$\begin{aligned} & A ( n ) = \left\{ x \mid \log _ { 2 } x \leqq n \right\} \\ & B ( n ) = \left\{ x \mid \log _ { 4 } x \leqq n \right\} \end{aligned}$$ Which of the following statements in are correct? [4 points] Remarks ㄱ. $A ( 1 ) = \{ x \mid 0 < x \leqq 1 \}$ ㄴ. $A ( 4 ) = B ( 2 )$ ㄷ. When $A ( n ) \subset B ( n )$, we have $B ( - n ) \subset A ( - n )$. (1) ㄱ (2) ㄴ (3) ㄷ (4) ㄱ, ㄷ (5) ㄴ, ㄷ
For an integer $n$, two sets $A ( n ) , B ( n )$ are defined as
$$\begin{aligned} & A ( n ) = \left\{ x \mid \log _ { 2 } x \leqq n \right\} \\ & B ( n ) = \left\{ x \mid \log _ { 4 } x \leqq n \right\} \end{aligned}$$
Which of the following statements in <Remarks> are correct? [4 points]
\textbf{Remarks}\\
ㄱ. $A ( 1 ) = \{ x \mid 0 < x \leqq 1 \}$\\
ㄴ. $A ( 4 ) = B ( 2 )$\\
ㄷ. When $A ( n ) \subset B ( n )$, we have $B ( - n ) \subset A ( - n )$.\\
(1) ㄱ\\
(2) ㄴ\\
(3) ㄷ\\
(4) ㄱ, ㄷ\\
(5) ㄴ, ㄷ