
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 the sets $A=\{x\mid \begin{cases} 3x+6 > 0 \\ 2x-10 < 0\\\end{cases}\}$ and $B=\{x\mid m+1\leqslant x\leqslant 2m-1\}$, find the range of values for $m$ such that $B\subseteq A$.

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