
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
For sets A and B, we denote the set $\{x | x \in A \text{ and } x \notin B\}$ as the difference of set A and B, written as $A - B$.
(1) If $M=\{x | y= \sqrt{2x-1}\}$ and $N=\{y | y=1-x^2\}$, find $M-N$;
(2) If $A=\{x | 0 < ax-1 \leq 5\}$ and $B=\{y | -\frac{1}{2} < y \leq 2\}$, and $A-B=\emptyset$, find the range of values for the real number $a$.

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