
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
Let $a$ be a real number, given proposition $p$: The function $f(x)=(a- \frac {3}{2})^{x}$ is a decreasing function on $\mathbb{R}$, and proposition $q$: The solution set of the inequality $(\frac {1}{2})^{|x-1|}\geqslant a$ with respect to $x$ is $\emptyset$.

1. If $p$ is true, find the range of values of $a$.
2. If $q$ is true, find the range of values of $a$.
3. If "$p$ and $q$" is false, but "$p$ or $q$" is true, find the range of values of $a$.

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