Question

select \\(subseteq\\) or \\(
subseteq\\) for the blank so that the resulting statement is true.\\({5, 3, 6}\\) ___ \\({1, 2, ..., 7}\\)\
choose the correct symbol below.\
\\(\bigcirc\\) \\(
subseteq\\)\
\\(\bigcirc\\) \\(subseteq\\)

Explanation:

Step1: Define subset condition

A set $A \subseteq B$ if every element of $A$ is in $B$.

Step2: Check elements of first set

Elements of $\{5, 3, 6\}$: 5, 3, 6.

Step3: Verify in second set

All 5, 3, 6 are in $\{1, 2, ..., 7\}$.

Answer:

$\subseteq$ (the second option: $\subseteq$)