
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
Positive real numbers \(a, b, x, y\) satisfy the conditions \(a x \leqslant 5\), \(a y \leqslant 10\), \(b x \leqslant 10\), and \(b y \leqslant 10\). Is it true that

\[a x + a y + b x + b y \leqslant 30?\]

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