
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 two sets $A = \{x \mid 0 < 2x + a \leq 3\}$ and $B = \{x \mid -\frac {1}{2} < x < 2\}$.
(1) Calculate $A \cap B$ when $a = -1$.
(2) If $A \subseteq B$, find the range of the real number $a$.

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