
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 $A=\left\{ x\mid 2x^{2}-3x+1\leqslant 0 \right\}$ and $B=\left\{ x^{2}-(2a+1)x+a(a+1)\leqslant 0 \right\}$, if $(C_{R}B\cap A=\varnothing)$, find the range of values for the real number $a$.

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