
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
Which of the following statements is incorrect? (Fill in the blank with the number)

1. The negation of the proposition "There exists $x\_1$, $x\_2 \in M$, $x\_1 \neq x\_2$, such that $[f(x\_1) - f(x\_2)](x\_2 - x\_1) > 0$" is "For all $x\_1$, $x\_2 \notin M$, $x\_1 \neq x\_2$, there is $[f(x\_1) - f(x\_2)](x\_2 - x\_1) \leqslant 0$";
2. If the converse of a proposition is true, then its negation is also true;
3. Given $p$: $x^{2}+2x-3 > 0$, $q$: $\frac {1}{3-x} > 1$, if the proposition $(^{¬}q) \wedge p$ is true, then the range of $x$ is $(-∞,-3) \cup (1,2] \cup [3, +∞)$;
4. "$x \neq 3$" is a sufficient condition for "$|x| \neq 3$" to hold.

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