
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 sets $A=\{ x\mid 0 < 2x+a\leqslant 3\},\;B=\{ x\mid-\frac{1}{2} < x < 2\}$.

1. Find $(C_R B)\cup A$ when $a=1$;
2. Determine the range of values for the real number $a$ if $A\subseteq B$.

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