
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, $A=\{x\ |\ -3 \leq x < 7\}$, $B=\{x\ |\ x^2-12x+20 < 0\}$, $C=\{x\ |\ x < a\}$. 
(1) Find $A \cup B$, and $(C_R A) \cap B$; 
(2) If $A \cap C \neq \emptyset$, determine the range of values for $a$.

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