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22 November, 13:50

Analyze the conditional statement below and complete the instructions that follow. You will receive the trophy if you win the championship match. Identify the hypothesis and the conclusion of the conditional statement. hypothesis: you will receive the trophy; conclusion: you win the championship match hypothesis: you do not win the championship match; conclusion: you will not receive the trophy hypothesis: you win the championship match; conclusion: you will receive the trophy hypothesis: you will not receive the trophy; conclusion: you do not win the championship match

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  1. 22 November, 14:02
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    This is a problem of logic. So we need to identify what the conditional statement means. In logic, there are several operators, one of them is the conditional operator. As the name implies, the conditional operator creates a compound statement that sets up a condition for something to be true. If the condition is met, the statement is true.

    Symbol: →

    Parts of Conditional: Two simple statements joined by the conditional symbol. The first simple statement in a conditional is called the antecedent and the second simple statement is called the consequent.

    So let's analyze each case:

    Case 1. Analyze the conditional statement and complete the instructions that follow.

    Statement: You will receive the trophy if you win the championship match.

    We can rewrite this in a standard form of the conditional operator, that is:

    A→B: If you win the championship match then you will receive the trophy

    A: You win the championship match

    B: You will receive the trophy

    Hypothesis: You win the championship match

    Conclusion: You will receive the trophy

    Case 2.

    According to the problem we have:

    Hypothesis: You will receive the trophy.

    Conclusion: Y ou win the championship match

    A: You will receive the trophy.

    B: You win the championship match

    We can rewrite this in an standard form of the conditional statement, that is:

    A→B: If you will receive the trophy then you win the championship match

    Case 3.

    According to the problem we have:

    Hypothesis: You do not win the championship match.

    Conclusion: You will not receive the trophy

    A: You do not win the championship match.

    B: You will not receive the trophy

    We can write this in a conditional statement:

    A→B: If you do not win the championship match then you will not receive the trophy

    Case 4.

    According to the problem we have:

    Hypothesis: You win the championship match

    Conclusion: You will receive the trophy

    We can rewrite this in a conditional statement:

    A: You win the championship match

    B: You will receive the trophy

    We can write this in a conditional statement:

    A→B: If you win the championship match then you will receive the trophy

    Case 5.

    According to the problem we have:

    Hypothesis: Y ou will not receive the trophy

    Conclusion: you do not win the championship match

    A: You will not receive the trophy

    B: You do not win the championship match

    We can write this in a conditional statement:

    A→B: If you will not receive the trophy then you do not win the championship match.
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