
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 $p$: The equation $x^2 - ax + 4 = 0$ has real roots; and $q$: The function $y = 2x^2 + ax + 4$ is increasing on the interval $[3, +\infty)$. If the compound 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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