
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
Let $T$ be a set of $5$ integers selected from $\{1, 2, \dots, 15\}$. The set must fulfill the condition that if $a$ and $b$ are elements of $T$ with $a < b$, then $b$ is not exactly twice $a$. What is the least possible value of an element in $T$?
A) 2  
B) 3  
C) 4  
D) 5  
E) 7

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