Question

which of the following are subsets of $b = \\{-1, 0, 1\\}$? select all that apply. $∇$; $\\{0, 1, 2\\}$; $\\{0\\}$; $\\{-1, 1\\}$

Explanation:

Step1: Recall subset definition

A set $S$ is a subset of $B$ if every element of $S$ is in $B = \{-1, 0, 1\}$.

Step2: Check $\emptyset$

The empty set is a subset of every set. No elements to verify.

Step3: Check $\{0,1,2\}$

Element $2
otin B$, so not a subset.

Step4: Check $\{0\}$

$0 \in B$, so it is a subset.

Step5: Check $\{-1,1\}$

$-1 \in B$ and $1 \in B$, so it is a subset.

Answer:

$\emptyset$, $\{0\}$, $\{-1, 1\}$