
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 $Q$: Proposition $P$ states that the solution set of the inequality $x^{2}+2ax+4 > 0$ regarding $x$ is $R$, and proposition $Q$ states that function $f(x)=(5-2a)^{x}$ is an increasing function. If $P \vee Q$ is true and $P \wedge Q$ is false, find the range of values for $a$.

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