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2 March, 01:20

1. A statement that can be expressed in if-then form is a?

converse

conditional

biconditional

counterexample

2. Which shows a true conditional with a correctly identified hypothesis and conclusion?

The first three months are free, so I must have joined the gym.

Hypothesis: the first free months are free.

Conclusion: I must have joined a gym

If you join the gym, then it is free for the first three months.

Hypothesis: it is free for the first three months

conclusion: you join the gym

If you join the gym, then it is free for the first three months.

Hypothesis: You join the Gym

conclusion: it is free for the first three months.

The first three months are free, so I must have joined a gym.

Hypothesis: I must have joined a gym

Conclusion: the first free months are free

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Answers (1)
  1. 2 March, 03:21
    0
    An if-then statement is also referred to as a conditional. "if" typically poses the condition, and "then" describes the outcome.

    in the second question, any statement that does not contain the words "if" or "then" is immediately incorrect, because the question asks for a true conditional. a true conditional contains "if" and "then."

    If you join the gym, then it is free for the first three months.

    the hypothesis, or condition, is "you join the gym." the conclusion, or result, is that "it is free for the first three months." this means that the third choice is correct, as it lists the conclusion and hypothesis correctly. in the future, try and keep in mind that the hypothesis follows the word "if" and the conclusion follows the word "then."
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