Problem 52 - Introductory Algebra for College Students

Question

Determine whether each statement "makes sense" or "does not make sense" and explain your reasoning. By reasoning through word problems, I can increase my problem-solving skills in general.

Step-by-Step Solution

Answer

The statement makes sense. Reasoning through word problems can improve general problem-solving abilities because it involves applying key problem-solving steps, which are transferable to other problems.

Step 1: Interpret the Statement

The first step is to interpret the statement given. The statement is 'By reasoning through word problems, I can increase my problem-solving skills in general.' This statement is implying that by regularly solving word problems one can improve their overall problem-solving abilities.

Step 2: Analyze the Statement

After interpreting the statement, the next step is to analyze it. The process of reasoning through word problems indeed involves identifying the problem, breaking it down into smaller parts, applying relevant knowledge and logic to solve these parts, and synthesizing the parts to form the solution. These are key steps in problem-solving in general, therefore, it makes sense that practicing this type of reasoning can improve these skills.

Step 3: Answer the Exercise

Based on the analysis, it can be concluded that the statement 'By reasoning through word problems, I can increase my problem-solving skills in general.' makes sense because reasoning through word problems involves applying key problem-solving steps which are transferable to other problems.