
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
The proposition $p$: The inequality $x^{2}+2ax+4 > 0$ holds for all $x\in R$; The proposition $q$: The function $f(x)=(3-2a)^{x}$ is an increasing function. If the proposition $p$ is true and the proposition $q$ is false, find the range of values of the real number $a$.

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