
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
Reading material: If $x$ is a rational number, we denote the largest integer not exceeding $x$ as $\left[x\right]$. For example, $\left[3.2\right]=3$, $\left[5\right]=5$, $\left[-2.1\right]=-3$. Then, $x=\left[x\right]+a$, where $0\leqslant a \lt 1$. For example, $3.2=\left[3.2\right]+0.2$, $5=\left[5\right]+0$, $-2.1=\left[-2.1\right]+0.9$. Please solve the following problems:  
(1) $\left[4.8\right]=\_\_\_\_\_\_$, $\left[-6.5\right]=\_\_\_\_\_\_$;  
(2) If $\left[x\right]=3$, then the range of values for $x$ is ______;  
(3) If $\left[5x-2\right]=3x+1$, then the value of $x$ is ______.

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