QUESTION IMAGE
Question
- read the following sentence.
we will go to the park tomorrow if you finish your homework.
what is the connecting word in the sentence and what logical symbol represents it?
the connecting word is you. the logical symbol is ∧.
the connecting word is if. the logical symbol is ⊂.
the connecting word is if. the logical symbol is →.
the connecting word is tomorrow. the logical symbol is →.
Brief Explanations
- Analyze the sentence "We will go to the park tomorrow if you finish your homework." The word "if" is the connecting word that introduces a conditional statement.
- In logic, a conditional statement (if - then, where "if" introduces the antecedent and the main clause is the consequent) is represented by the symbol $
ightarrow$ (implication).
- Now check the options:
- Option 1: "you" is not a connecting word, and $\wedge$ is for conjunction (and), so this is wrong.
- Option 2: $\subset$ is a set - subset symbol, not for logical implication, so this is wrong.
- Option 3: "if" is the connecting word, and $
ightarrow$ is the symbol for implication (conditional), which matches.
- Option 4: "tomorrow" is a time - related word, not a connecting word for logic, so this is wrong.
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C. The connecting word is if. The logical symbol is $
ightarrow$.