
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
Use the "bisection method" to find the root of the equation $2^x+3x-7=0$ in the interval $[1,3]$, taking the midpoint of the interval as $x_0=2$. Then, the next interval containing the root is \_\_\_\_\_\_.

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