
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 propositions $p$ and $q$:
- $p$: There exists an $x$ in the set of real numbers, such that $mx^2+1\leqslant 0$
- $q$: For all $x$ in the set of real numbers, $x^2+mx+1 > 0$

If the disjunction of propositions $p$ and $q$ ($p\lor q$) is a false statement, find the range of values for the real number $m$.

A) $m\geqslant 2$
B) $m\leqslant -2$
C) $m\leqslant -2$ or $m\geqslant 2$
D) $-2\leqslant m\leqslant 2$

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