
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Given that sets $A$ and $B$ are subsets of the set of real numbers $R$, and $A-B=\{x|x\in A,x\notin B\}$, if $A=\left\{y|y=\frac{1}{x},\frac{1}{3}⩽x⩽1\right\}$ and $B=\{y|y=x^{2}-1,-1\leqslant x\leqslant 2\}$, determine the set $B-A$.

Present the answer in LaTex format: \boxed{Your answer}
user