
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 real numbers $a$ and $b$ satisfying the inequality $ax > b$ for $x$ with the solution set $(-\infty, -1)$, and the inequality $y^{2}+3y+b > 0$ for $y$ with the solution set $R$, find the values of $a$ and $b$ that satisfy the conditions.

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