Answered

Take a look at the chain of conditional statements below. Given this chain, which of the following statements are true? Check all that apply.

1. If I study, I will be prepared for my test.
2. If I am prepared for my test, I will do well.
3. If I do well, I will get a good grade.

A. If I study, then I will get a good grade.
B. If I do well, then I must have studied.
C. If I am prepared for my test, then I will get a good grade.
D. If I study, then I will do well.
E. If I get a good grade, then I must have studied.



Answer :

GinnyAnswer

Final answer:

The importance of necessary and sufficient conditions in logical statements within a chain of conditionals.


Explanation:

Necessary and Sufficient Conditions:

  1. If the statement "If I study, I will be prepared for my test" is true, this implies that studying is a necessary condition for being prepared for the test.
  2. If the statement "If I do well, I will get a good grade" is true, this implies that doing well is a sufficient condition for getting a good grade.
  3. Based on the given chain of conditional statements, the true implications are:
    • A. If I study, then I will get a good grade.
    • B. If I do well, then I must have studied.
    • C. If I am prepared for my test, then I will get a good grade.

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