With the economy continuing to be a challenge we see folks on a daily bases with vehicle mileage exceeding 150,000 and well over 200,000. As safety and reliability are normally a priority, specifically when the vehicle is transporting children, you have to take into consideration the following.
The climate and conditions the vehicle has been used in. Has the vehicle received regular maintenance during its life, fluid changes, tune-ups, scheduled maintenance, etc. Does the vehicle have any abnormalities, noises, vibrations, overheating, power loss, drivability issues, etc.
You might want to take the vehicle to a reparable auto repair center and request an inspection focusing on the suspension, charging system, engine and drive line, brake system, belts & hoses and service/warning lights. Typically the price is reasonable and can provide peace of mind.
My 96 has 180000 miles. I just replaced most of the gaskets on the upper end but the car never did quit running. The main thing is to pay attention to your gauges. Never let the car run hot. As long as the car starts easy and runs smoothly and there are no gauges giving you warning signs, drive it! I have a six year old son and he loves riding in the sunfire. As far as it being safe, you might need to clarify your question. Safe for what? A daily driver or a cross country tour? My motto is as long as you can afford the distance you have driven to have a tow truck haul it back, drive it!