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There is no quick an easy (and universal) way to do that. You require some experience with solving different types of equations or problems.
Steps to solve problems in an orderly way is called a problem-solving process. This typically involves identifying the problem, gathering relevant information, generating potential solutions, evaluating those solutions, and then implementing the best one. Following a structured approach helps ensure that all aspects of the problem are considered and increases the likelihood of finding an effective resolution.
If it is purely a Venn diagram problem then you cannot. Venn diagrams offer a way of solving certain types of problems graphically.
Descartes has been heralded as the first modern philosopher. He is famous for having made an important connection between geometry and algebra, which allowed for the solving of geometrical problems by way of algebraic equations.
The math teacher was mad at me because I did not show my work when solving math problems. Showing your work is important because it allows the teacher to see your thought process and understand how you arrived at your answer. It also helps you catch any mistakes you may have made along the way. By not showing my work, I was not able to demonstrate my understanding of the concepts being taught.