
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 the set $A=\{y|y=x^2-\frac{3}{2}x+1, x\in[\frac{3}{4},2]\}$, and $B=\{x|x+m^2\geq1\}$. If "x belongs to A" is a sufficient condition for "x belongs to B", find the range of the real number $m$.

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