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Which of the following is a conditional statement that has a disjunction in the hypothesis?

a) If the lake is frozen, then we will go ice skating.
b) If I finish my work and it isn’t too late, then I will go to the movies.
c) We had hamburgers and hotdogs for dinner.
d) If I go to the beach or if I go to the pool, then I will bring my book.

1 Answer

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Final answer:

The correct answer is d) 'If I go to the beach or if I go to the pool, then I will bring my book,' as it is the only option that presents a conditional statement with a disjunction ('or') in the hypothesis.

Step-by-step explanation:

The student is asking about a conditional statement that contains a disjunction in the hypothesis. In logical terms, a conditional is an if-then statement, and a disjunction refers to a situation involving an 'or' where at least one of the conditions must be true. Looking at the options provided:

  • a) If the lake is frozen, then we will go ice skating. (This is a simple conditional statement with no disjunction in the hypothesis.)
  • b) If I finish my work and it isn’t too late, then I will go to the movies. (This statement contains a conjunction, not a disjunction, in its hypothesis.)
  • c) We had hamburgers and hotdogs for dinner. (This is not a conditional statement at all.)
  • d) If I go to the beach or if I go to the pool, then I will bring my book. (This is a conditional statement with a disjunction in the hypothesis.)

Therefore, the correct answer is d) because it presents a conditional statement ('If... then...') featuring a disjunction ('or') in the hypothesis.

User Kurtis Jungersen
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