
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
Let \\(p\\): The equation \\(x^{2}+2mx+1=0\\) has two distinct positive roots; \\(q\\): The equation \\(x^{2}+2(m-2)x-3m+10=0\\) has no real roots. Then, the range of real numbers \\(m\\) that makes \\(p∨q\\) true and \\(p∧q\\) false is \_\_\_\_\_\_.

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