QUESTION IMAGE
Question
select ⊆ or ⊈ for the blank so that the resulting statement is true. { -3, 0, 3 } ___ { -3, -1, 1, 3 } choose the correct symbol below. ○ ⊆ ○ ⊈
Step1: Define subset condition
A set $A \subseteq B$ iff every element of $A$ is in $B$.
Step2: Check elements of first set
First set elements: $-3, 0, 3$. Check if all are in $\{-3, -1, 1, 3\}$.
$-3$ and $3$ are in the second set, but $0$ is not.
Step3: Determine correct symbol
Since not all elements are in the second set, the subset relation does not hold.
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