
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 the inequality $|x+ \frac {1}{2}| < \frac {3}{2}$, the solution set is $A$. For the inequality $( \frac {1}{π})^{2x} > π^{-a-x}$ (where $a∈R$), the solution set is $B$. The universal set $U=R$. Find the range of real numbers $a$ that makes $∁\_UA∩B=B$.

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