
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
Determine the range of $x$ if $x$ is a real number and $2\log_2 x - 1 < 0$.
A) $x < 0$
B) $0 < x < 1$
C) $0 < x < \sqrt{2}$
D) $x > \sqrt{2}$
E) $x > 1$

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