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Match the sentence to its symbolic notation: p: I like to go to the beach q: I like to eat ice cream r: I do not enjoy rainy days.

A. p ∧ q ∨ ¬r
B. p ∨ q ∧ ¬r
C. ¬p ∧ ¬q ∨ r
D. ¬p ∨ ¬q ∧ r

User Dimezis
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1 Answer

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Final answer:

The sentence 'I like to go to the beach' can be represented by the symbol p. 'I like to eat ice cream' can be represented by the symbol q. 'I do not enjoy rainy days' can be represented by the symbol ¬r. The correct match is B. p ∨ q ∧ ¬r, which means 'I like to go to the beach or I like to eat ice cream and I do not enjoy rainy days.'

Step-by-step explanation:

The sentence 'I like to go to the beach' can be represented by the symbol p. 'I like to eat ice cream' can be represented by the symbol q. 'I do not enjoy rainy days' can be represented by the symbol ¬r.

Combining these symbols based on their logical relationships, we can match the sentence to its symbolic notation.

The correct match is B. p ∨ q ∧ ¬r, which means 'I like to go to the beach or I like to eat ice cream and I do not enjoy rainy days.'

User Pandasauce
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