
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 propositions p: "For all $x \in [0,1]$, $a \geq e^x$", and proposition q: "There exists $x \in \mathbb{R}$, $x^2 - 4x + a \leq 0$", if the proposition $p \land q$ is true, then the range of the real number $a$ is.

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