
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 inequalities \\(① 2^{x^2-4x+3} < 1\\), \\(② \frac{2}{4-x} \geqslant 1\\), \\(③ 2x^2-9x+m < 0\\), to make all \\(x\\) that satisfy both \\(①\\) and \\(②\\) also satisfy \\(③\\), the range of the real number \\(m\\) is ______.

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