
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 that $m$ is a real number, for the system of equations about $x$ and $y$: $\left\{\begin{array}{l}{x+y=-1}\\{5x+2y=6m+7}\end{array}\right.$, the solutions satisfy the inequality $2x-y \lt 19$. Find the range of real numbers for $m$.

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