Problem 87 - Introductory Algebra for College Students

Question

Determine whether each statement "makes sense" or "does not make sense" and explain your reasoning. If I could be absolutely certain that I have not made an algebraic error in obtaining intercepts, I would not need to use checkpoints.

Step-by-Step Solution

Answer

The statement 'Does not make sense', as even if one is absolutely certain of not making an algebraic error in obtaining intercepts, checkpoints are still necessary, to ensure that the results are correct and reasonable.

Step 1: Understand the context

Checkpoints are used to validate the accuracy and correctness of the results obtained after performing algebraic calculations. They are significant for ensuring that the produced results are reasonable. Even if one is confident about not making a mistake, it is always advisable to use checkpoints for the sake of validation.

Step 2: Evaluate the statement

One may have done perfect algebraic calculations and obtained intercepts, but that does not mean the obtained results don't need validation. The absence of algebraic errors does not thereby eliminate the need to use checkpoints.

Step 3: Conclude

Therefore, even if one is absolutely certain of not making an algebraic error in obtaining intercepts, checkpoints are still necessary, to ensure that the results are correct and reasonable.