
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 set $A={x|a\leqslant x\leqslant a+2}$ and the set $B={x|x < -1 \text{ or } x > 3}$, determine the range of values for the real number $a$ under the following conditions:
1. $A\cap B=A$
2. $A\cap B\neq \varnothing$

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