When you analyze a problem you look it over which is what analyzing means. You look over the problem and then you solve it. When you solve a problem you solve it and you use certain steps and solve it but of course everyone has there ways to solve a problem but some people have ways to solve it by just analysing it. That is the difference.
The answer to 744 times 31 equals 23064. To solve this math problem you will have to take the number 744 and add it 31 times.
It is a Scientific Method.
Recognizing and identifying the problem.
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break it up into parts and take one part at a time
To solve a problem, you need to have a plan. You need to identify the problem and then plan out the steps to solve it.
An algorithm is the series of steps to solve problem, so you would be looking for the series of steps to solve a math problem.
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Proactive is to step up and do something to solve a problem before it becomes an issue. It is to take steps to avoid the problem in the first place.