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Working out a problem or situation systematically, breaking the whole into its component parts for separate analysis, and coming to a solution or a variety of possible solutions is called:

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Final answer:

The method of solving a problem by breaking it down into components and analyzing each part to find one or multiple solutions is known as systematic problem-solving. It involves identifying the problem, applying a logical approach, and assessing the reasonableness of the solution.

Step-by-step explanation:

Working out a problem or situation systematically, breaking it into its component parts for separate analysis, and arriving at a solution or a variety of possible solutions is a method referred to as problem-solving. This approach involves several key steps, such as identifying the problem clearly, using problem-solving strategies like identifying knowns and unknowns, and evaluating whether the solution is reasonable.

Often in fields such as engineering, mathematics, and technology, a logical, systematic approach is applied to solve problems. This method incorporates analysis and the evaluation of alternative solutions, acknowledging that there might be more than one solution to a given problem.

The three-stage problem-solving process typically consists of strategy, solution, and significance. Through this process, individuals work through a problem analytically or computationally, with step-by-step guidance to derive the best possible solution.

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