
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 that the universal set $U=\mathbb{R}$, and let $A=\{x \mid 1 \leq x < b\}$, the complement of set $A$ in $U$, $\complement_U A$, is $\{x \mid x < 1 \text{ or } x \geq 2\}$. Find the value of the real number $b$.

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