
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 proposition $p$: The inequality $x^{2}-ax-8 > 0$ holds true for any real number $x \in [2,4]$; proposition $q$: There exists a real number $\theta$ such that $a-1 \leqslant \sin \theta -2$; if $p \land q$ is a true proposition, determine the range of values for $a$.

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