
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
For which values of \( m \) are the roots of the equation

\[ 
4x^{2} - (3m + 1)x - m - 2 = 0 
\]

contained within the interval between -1 and 2?

Solve the inequality \( 8.46 \):

\[ \left|\frac{3x + 1}{x - 3}\right| < 3. \]

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