
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 proposition \\(p\\): The equation \\( \dfrac {x^{2}}{m+1}+ \dfrac {y^{2}}{3-m}=1\\) represents an ellipse with foci on the \\(y\\)-axis, and proposition \\(q\\): The equation in \\(x\\), \\(x^{2}+2mx+2m+3=0\\), has no real roots,  
\\((1)\\) If proposition \\(p\\) is true, find the range of real numbers \\(m\\);  
\\((2)\\) If “\\(p∧q\\)” is a false proposition and “\\(p∨q\\)” is a true proposition, find the range of real numbers \\(m\\).

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