
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
In the Cartesian coordinate system $xOy$, suppose the line $l: x+y+1=0$ intersects both asymptotes of the hyperbola $C: \dfrac {x^{2}}{a^{2}}- \dfrac {y^{2}}{b^{2}}=1 \ (a > 0,b > 0)$, and both intersection points lie to the left of the y-axis. Then the range of the eccentricity $e$ of the hyperbola $C$ is _______.

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