
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 proposition \( p \): The equation \( a^{2} x^{2} + a x - 2 = 0 \) has a solution in the interval \([-1, 1]\); proposition \( q \): There is only one real number \( x \) that satisfies the inequality \( x^{2} + 2a x + 2a \leqslant 0 \). If the proposition “\( p \) or \( q \)” is false, find the range of values for \( a \).

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