
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
Let proposition $p$: the function $y=kx+1$ is increasing on $\mathbb{R}$, and proposition $q$: the curve $y=x^{2}+(2k-3)x+1$ intersects the $x$-axis at two distinct points. If $p \land q$ is a false proposition, and $p \lor q$ is a true proposition, find the range of values for $k$.

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