
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
Investigate when the inequality $2y + 3x > \sqrt{9x^2}$ holds.
**A)** $y > 0$ for $x \geq 0$; $y > -3x$ for $x < 0$
**B)** $y > 0$ for $x \geq 0$; $y < -3x$ for $x < 0$
**C)** $y < 0$ for $x > 0$; $y < -3x$ for $x < 0$
**D)** $y < 0$ for $x < 0$; $y < -3x$ for $x < 0$
**E)** $y > 0$ for all $x$

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